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Contact (Karlsruhe)
Prof. Dr. Günter Last
Karlsruhe Institute of Technology
Institut für Stochastik
Kaiserstraße 89
76133 Karlsruhe
Germany
Phone: +49-721-608 43265
Fax: +49-721-608 46691
Contact (Erlangen)
Prof. Dr. Klaus Mecke
Universität Erlangen-Nürnberg
Institut für Theoretische Physik
Staudtstraße 7
91058 Erlangen
Germany
Phone: +49-9131-85 28442
Fax: +49-9131-85 28444
Contact (Aarhus)
CSGB
Department of Mathematical Sciences
Ny Munkegade 118
building 1530
8000 Aarhus C
Denmark

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Publications

2018 · 2017 · 2016 · 2015 · 2014 · 2013 · 2012 · 2011

2018

  • Károly Böröczky, Ferenc Fodor and Daniel Hug
  • Strengthened volume inequalities for L_p zonoids of even isotropic measures
  • Transactions of the American Mathematical Society (2018)
  • [BibTeX]
  • Bruno Ebner AND Norbert Henze AND Michael A. Klatt AND Klaus Mecke
  • Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images
  • Electronic Journal of Statistics 12(2), 2873–2904 (2018)
  • [Link] · [arXiv] · [BibTeX]
  • Hug, Daniel and Rataj, Jan
  • Mixed curvature measures of translative integral geometry
  • Geometriae Dedicata 195(1), 101–120 (2018)
  • [BibTeX]
  • Müller, Dennis
  • Central Limit Theorems for Geometric Functionals of Gaussian Excursion Sets
  • PhD thesis, Karlsruhe Institute of Technology (KIT), Karlsruhe 2018
  • [BibTeX]
  • Klatt, Michael A. and Torquato, Salvatore
  • Characterization of maximally random jammed sphere packings. III. Transport and electromagnetic properties via correlation functions
  • Phys. Rev. E 97(1) (2018)
  • [Link] · [BibTeX]
  • Steffen Winter
  • Localization results for Minkowski contents
  • J. Lond. Math. Soc. (to appear) (2018)
  • [arXiv] · [BibTeX]
  • Ziesche, Sebastian
  • Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on $\mathbb{R}^d$
  • Ann. Inst. H. Poincaré Probab. Statist. 54(2), 866–878 (2018)
  • [BibTeX]
  • Hug, Daniel and Thaele, Christoph
  • Splitting tessellations in spherical spaces
  • Preprint (2018)
    note: arXiv: 1804.08740
  • [arXiv] · [BibTeX]
  • Hug, Daniel and Weis, Jan A.
  • Kinematic formulae for tensorial curvature measures
  • Annali di Matematica Pura ed Applicata (1923 -) 197(5), 1349–1384 (2018)
  • [BibTeX]
  • Hug, Daniel and Rataj, Jan and Weil, Wolfgang
  • Flag representations of mixed volumes and mixed functionals of convex bodies
  • J. Math. Anal. Appl. 460(2) (2018)
  • [BibTeX]
  • Hug, Daniel and Kabluchko, Zakhar
  • An inclusion-exclusion identity for normal cones of polyhedral sets
  • Mathematika 64(1), 124–136 (2018)
  • [BibTeX]
  • Gieringer, Fabian and Last, Günter
  • Concentration inequalities for measures of a Boolean model
  • ALEA, Lat. Am. J. Probab. Math. Stat. 15, 151-166 (2018)
  • [Link] · [BibTeX]
  • Hirsch, Christian and Last, Günter
  • On Maximal Hard-Core Thinnings of Stationary Particle Processes
  • J. Stat. Phys. 170, 554–583 (2018)
  • [Link] · [BibTeX]
  • Last, Günter and Nestmann, Franz and Schulte, Matthias
  • The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation
  • Preprint (2018)
    note: arXiv: 1808.01203
  • [arXiv] · [BibTeX]
  • Lachiéze-Rey, Raphaël and Schulte, Matthias and Yukich, J. E.
  • Normal approximation for stabilizing functionals
  • Annals of Applied Probability (to appear) (2018)
    note: arXiv: 1702.00726
  • [Link] · [BibTeX]
  • Khmaladze, Estate and Weil, Wolfgang
  • Fold-up derivatives of set-valued functions and the change-set problem: A Survey
  • Ann. Inst. Statist. Math. 70(1), 1–38 (2018)
  • [Link] · [BibTeX]
  • Reitzner, Matthias and Schneider, Rolf
  • On the cells in a stationary Poisson hyperplane mosaic
  • Adv. Geom. (2018)
  • [BibTeX]
  • Schneider, Rolf
  • Small faces in stationary Poisson hyperplane tessellations
  • Preprint (2018)
    note: arXiv: 1808.05432
  • [arXiv] · [BibTeX]
  • Schneider, Rolf
  • Conic support measures
  • Preprint (2018)
    note: arXiv: 1807.03614
  • [arXiv] · [BibTeX]
  • Schneider, Rolf
  • The polytopes in a Poisson hyperplane tessellation
  • Preprint (2018)
    note: arXiv: 1804.05622
  • [arXiv] · [BibTeX]
  • Schneider, R.
  • Intersection probabilities and kinematic formulas for polyhedral cones
  • Acta Math. Hungar. 155(1), 3–24 (2018)
  • [Link] · [BibTeX]
  • Schneider, Rolf
  • Polyhedral Gauss–Bonnet theorems and valuations
  • Beitr. Algebra Geom. 59(2), 199–210 (2018)
  • [Link] · [BibTeX]
  • Michael Klatt, Günter Last, Dhandapani Yogeshwaran
  • Hyperuniform and rigid stable matchings
  • Preprint (2018)
  • [arXiv] · [BibTeX]
  • P. W. A. Schönhöfer AND M. Marechal AND G. Schröder-Turk
  • Density functional theory for hard uniaxial particles: Complex ordering of pear-shaped and spheroidal particles near a substrate
  • The Journal of Chemical Physics 148(12), 124104 (2018)
  • [Link] · [BibTeX]
  • Philipp W A Schönhöfer and Douglas J Cleaver and Gerd E Schröder-Turk
  • Double diamond phase in pear-shaped nanoparticle systems with hard sphere solvent
  • Journal of Physics D: Applied Physics 51(46), 464003 (2018)
  • [Link] · [BibTeX]
  • Simon Weis and Gerd E Schröder-Turk and Matthias Schröter
  • Structural similarity between dry and wet sphere packings
  • Preprint (2018)
    note: arXiv: 1808.04342
  • [arXiv] · [BibTeX]
  • Giustiniani, Anaïs and Weis, Simon and Poulard, Christophe and Kamm, Paul H. and García-Moreno, Francisco and Schröter, Matthias and Drenckhan, Wiebke
  • Skinny emulsions take on granular matter
  • Soft Matter 14, 7310-7323 (2018)
  • [Link] · [BibTeX]
  • Matthias C. Bott and Felix Winterhalter and Matthieu Marechal and Abhinav Sharma and Joseph M. Brader and René Wittmann
  • Isotropic-nematic transition of self-propelled rods in three dimensions
  • Phys. Rev. E 98, 012601 (2018)
  • [Link] · [BibTeX]
  • Philipp W. A. Schönhöfer and Gerd E. Schröder-Turk and Matthieu Marechal
  • Density functional theory for hard uniaxial particles: Complex ordering of pear-shaped and spheroidal particles near a substrate
  • J. Chem. Phys. 148, 124104 (2018)
  • [Link] · [BibTeX]

2017

  • Imre Bárány, Daniel Hug, Matthias Reitzner, and Rolf Schneider
  • Random points in halfspheres
  • Random Structures & Algorithms 50(1), 3–22 (2017)
  • [Link] · [BibTeX]
  • Bernig, Andreas and Hug, Daniel
  • Integral geometry and algebraic structures for tensor valuations
  • pages 79–109 in: Lecture Notes in Math., Vol. 2177: Tensor valuations and their applications in stochastic geometry and imaging (editor(s): Jensen, Eva B. Vedel and Kiderlen, Markus), Springer, Cham, 2017
  • [BibTeX]
  • Károly Böröczky and Daniel Hug
  • Isotropic measures and stronger forms of the reverse isoperimetric inequality
  • Trans. Amer. Math. Soc. 369(10), 6987–7019 (2017)
  • [BibTeX]
  • Evans, Myfanwy E and Schröder-Turk, Gerd E and Kraynik, Andrew M
  • A geometric exploration of stress in deformed liquid foams
  • Journal of Physics: Condensed Matter 29(12), 124004 (2017)
  • [Link] · [BibTeX]
  • Paul Goodey, Daniel Hug, and Wolfgang Weil
  • Kinematic formulas for area measures
  • Indiana Univ. Math. J. 66, 997–1018 (2017)
  • [BibTeX]
  • Goodey, Paul and Hinderer, Wolfram and Hug, Daniel and Rataj, Jan and Weil, Wolfgang
  • A flag representation of projection functions
  • Adv. Geom. 17(3), 303–322 (2017)
  • [BibTeX]
  • Hörrmann, Julia and Svane, Anne Marie
  • Local Digital Algorithms Applied to Boolean Models
  • Scand. J. Stat. 44(2), 369–395 (2017)
  • [Link] · [BibTeX]
  • Schulte, Julia and Weil, Wolfgang
  • Valuations and Boolean models
  • pages 301–338 in: Lecture Notes in Math., Vol. 2177: Tensor valuations and their applications in stochastic geometry and imaging (editor(s): Jensen, Eva B. Vedel and Kiderlen, Markus), Springer, Cham, 2017
  • [BibTeX]
  • Hug, Daniel and Klatt, Michael A. and Last, Günter and Schulte, Matthias
  • Second Order Analysis of Geometric Functionals of Boolean Models
  • pages 339–383 in: Lecture Notes in Mathematics, Vol. 2177: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (editor(s): Vedel Jensen, Eva B. and Kiderlen, Markus), Springer International Publishing, Cham 2017
  • [Link] · [BibTeX]
  • Hug, Daniel and Schneider, Rolf
  • Rotation covariant local tensor valuations on convex bodies
  • Communications in Contemporary Mathematics 19(05), 1650061-1–31 (2017)
  • [BibTeX]
  • Hug, Daniel and Weis, Jan A.
  • Crofton formulae for tensor-valued curvature measures
  • pages 111–156 in: Lecture Notes in Math., Vol. 2177: Tensor valuations and their applications in stochastic geometry and imaging (editor(s): Jensen, Eva B. Vedel and Kiderlen, Markus), Springer, Cham, 2017
  • [BibTeX]
  • Hug, Daniel and Schneider, Rolf
  • SO(n) Covariant local tensor valuations on polytopes
  • The Michigan Mathematical Journal 66(3), 637–659 (2017)
  • [Link] · [BibTeX]
  • Hug, Daniel and Kiderlen, Markus and Svane, Anne Marie
  • Voronoi-Based Estimation of Minkowski Tensors from Finite Point Samples
  • Discrete Comput. Geom. 57(3), 545–570 (2017)
  • [Link] · [BibTeX]
  • Hug, Daniel and Schneider, Rolf
  • Tensor valuations and their local versions
  • pages 27–65 in: Lecture Notes in Math., Vol. 2177: Tensor valuations and their applications in stochastic geometry and imaging (editor(s): Jensen, Eva B. Vedel and Kiderlen, Markus), Springer, Cham, 2017
  • [BibTeX]
  • Jensen, Eva B. Vedel and Kiderlen, Markus (eds.)
  • Tensor valuations and their applications in stochastic geometry and imaging
  • Lecture Notes in Mathematics, Vol. 2177: Springer, Cham, 2017
  • [BibTeX]
  • Eva B. Vedel Jensen and Markus Kiderlen
  • Rotation invariant valuations.
  • pages 185–212 in: Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014, Cham: Springer, 2017
  • [BibTeX]
  • Weis, Jan Andreas
  • Tensorial Curvature Measures in Integral Geometry
  • PhD thesis, Karlsruhe Institute of Technology (KIT), Karlsruhe 2017
  • [BibTeX]
  • Klatt, Michael A. and Last, Günter and Mecke, Klaus and Redenbach, Claudia and Schaller, Fabian M. and Schröder-Turk, Gerd E.
  • Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors
  • pages 385–421 in: Lecture Notes in Mathematics, Vol. 2177: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (editor(s): Vedel Jensen, Eva B. and Kiderlen, Markus), Springer International Publishing, Cham 2017
  • [Link] · [BibTeX]
  • Klatt, Michael A. and Mecke, Klaus
  • Morphometric analysis in gamma-ray astronomy using Minkowski functionals: II. Joint structure quantification
  • Preprint (2017)
    note: arXiv: 1710.03542
  • [arXiv] · [BibTeX]
  • Klatt, Michael A. and Mecke, Klaus
  • Morphometric analysis in gamma-ray astronomy using Minkowski functionals: III. Sensitivity increase via a refined structure quantification
  • Preprint (2017)
    note: arXiv: 1710.03543
  • [arXiv] · [BibTeX]
  • Klatt, Michael A. and Schröder-Turk, Gerd E. and Mecke, Klaus
  • Mean-intercept anisotropy analysis of porous media. I. Analytic formulae for anisotropic Boolean models
  • Med. Phys. 44(7), 3650–3662 (2017)
  • [Link] · [BibTeX]
  • Klatt, Michael A. and Schröder-Turk, Gerd E. and Mecke, Klaus
  • Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative
  • Med. Phys. 44(7), 3663–3675 (2017)
  • [Link] · [BibTeX]
  • Klatt, Michael A and Schröder-Turk, Gerd E and Mecke, Klaus
  • Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals
  • J. Stat. Mech. Theor. Exp. 2017(2), 023302 (2017)
  • [Link] · [BibTeX]
  • Astrid Kousholt and Johanna F. Ziegel and Markus Kiderlen and Eva B. Vedel Jensen
  • Stereological estimation of mean particle volume tensors in $\mathbb R^3$ from vertical sections.
  • pages 423–434 in: Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014, Cham: Springer, 2017
  • [BibTeX]
  • Last, Günter and Penrose, Mathew D. and Zuyev, Sergei
  • On the capacity functional of the infinite cluster of a Boolean model
  • Ann. Appl. Probab. 27, 1678–1701 (2017)
  • [Link] · [BibTeX]
  • Last, Günter and Ziesche, Sebastian
  • On the Ornstein–Zernike equation for stationary cluster processes and the random connection model
  • Adv. Appl. Probab. 49(4), 1260–1287 (2017)
  • [BibTeX]
  • Dennis Müller
  • A central limit theorem for Lipschitz–Killing curvatures of Gaussian excursions
  • J. Math. Anal. Appl. 452(2), 1040 – 1081 (2017)
  • [BibTeX]
  • Reitzner, Matthias and Schulte, Matthias and Thäle, Christoph
  • Limit theory for the Gilbert graph
  • Adv. in Appl. Math. 88, 26–61 (2017)
  • [Link] · [arXiv] · [BibTeX]
  • Svane, Anne Marie
  • Valuations in image analysis
  • pages 435–454 in: Lecture Notes in Math., Vol. 2177: Tensor valuations and their applications in stochastic geometry and imaging, Springer, Cham, 2017
  • [BibTeX]
  • Svane, Anne Marie and Vedel Jensen, Eva B.
  • Rotational Crofton formulae for Minkowski tensors and some affine counterparts
  • Adv. in Appl. Math. 91, 44–75 (2017)
  • [Link] · [BibTeX]
  • Anne Marie Svane
  • Valuations in image analysis.
  • pages 435–454 in: Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014, Cham: Springer, 2017
  • [BibTeX]
  • Wolfgang Weil
  • Integral geometry of translation invariant functionals II: The case of general convex bodies
  • Adv. in Appl. Math. 83, 145–171 (2017)
  • [BibTeX]
  • Wilts, Bodo D. and Apeleo Zubiri, Benjamin and Klatt, Michael A. and Butz, Benjamin and Fischer, Michael G. and Kelly, Stephen T. and Spiecker, Erdmann and Steiner, Ullrich and Schröder-Turk, Gerd E.
  • Butterfly gyroid nanostructures as a time-frozen glimpse of intracellular membrane development
  • Sci. Adv. 3(4), e1603119 (2017)
  • [Link] · [BibTeX]
  • Hug, Daniel and Weis, Jan A.
  • Integral geometric formulae for Minkowski tensors
  • Preprint (2017)
    note: arXiv: 1712.09699
  • [arXiv] · [BibTeX]
  • Hug, Daniel and Weil, Wolfgang
  • Determination of Boolean models by mean values of mixed volumes
  • Preprint (2017)
    note: arXiv: 1712.08241
  • [arXiv] · [BibTeX]
  • Hug, Daniel and Reichenbacher, Andreas
  • Geometric inequalities, stability results and Kendall's problem in spherical space
  • arXiv:1709.06522 [math] (2017)
    note: arXiv: 1709.06522
  • [arXiv] · [BibTeX]
  • Hug, Daniel and Weis, Jan A.
  • Crofton Formulae for Tensorial Curvature Measures: The General Case
  • pages 39–60 in: Analytic Aspects of Convexity (editor(s): Bianchi, Gabriele and Colesanti, Andrea and Gronchi, Paolo), Springer International Publishing, Cham 2017
  • [BibTeX]
  • Colesanti, Andrea and Hug, Daniel and Saor\'in Gómez, Eugenia
  • Monotonicity and concavity of integral functionals involving area measures of convex bodies
  • Communications in Contemporary Mathematics 19(02), 1650033-1–26 (2017)
  • [BibTeX]
  • Last, Günter and Penrose, Mathew
  • Lectures on the Poisson Process
  • Institute of Mathematical Statistics Textbooks: Cambridge University Press, Cambridge 2017
  • [Link] · [BibTeX]
  • Kabluchko, Zakhar and Last, Günter and Zaporozhets, Dmitry
  • Inclusion–Exclusion Principles for Convex Hulls and the Euler Relation
  • Discrete Comput. Geom. 58(2), 417–434 (2017)
  • [Link] · [BibTeX]
  • Schulte, Matthias and Thäle, Christoph
  • Central limit theorems for the radial spanning tree
  • Random Structures & Algorithms 50(2), 262–286 (2017)
  • [Link] · [BibTeX]
  • Reitzner, Matthias and Schulte, Matthias and Thäle, Christoph
  • Limit theory for the Gilbert graph
  • Adv. Appl. Math. 88, 26–61 (2017)
  • [BibTeX]
  • Schneider, R.
  • Combinatorial identities for polyhedral cones
  • Algebra i Analiz, p. 279–295 (2017)
    note: translation in St. Petersburg Math. J. \textbf29 (2018), no. 1, 209–221
  • [BibTeX]
  • Schneider, Rolf
  • Valuations on Convex Bodies: The Classical Basic Facts
  • pages 1–25 in: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (editor(s): Jensen, Eva B. Vedel and Kiderlen, Markus), Springer International Publishing, Cham 2017
  • [Link] · [BibTeX]
  • Mughal, Adil and Libertiny, Tomas and Schröder-Turk, GE
  • How bees and foams respond to curved confinement: Level set boundary representations in the Surface Evolver
  • Colloids and Surfaces A: Physicochemical and Engineering Aspects 534, 94–104 (2017)
  • [BibTeX]
  • Mughal, Adil and Cox, SJ and Schröder-Turk, GE
  • Curvature driven motion of a bubble in a toroidal Hele-Shaw cell
  • Interface focus 7(4), 20160106 (2017)
  • [BibTeX]
  • Schmiedeberg, M. and Achim, C. V. and Hielscher, J. and Kapfer, S. C. and Löwen, H.
  • Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom
  • Phys. Rev. E 96, 012602 (2017)
  • [Link] · [BibTeX]
  • Hielscher, J. and Martinsons, M. and Schmiedeberg, M. and Kapfer, S. C.
  • Detection of phonon and phason modes in intrinsic colloidal quasicrystals by reconstructing their structure in hyperspace
  • Journal of Physics: Condensed Matter 29(9), 094002 (2017)
  • [Link] · [BibTeX]
  • Schaller, Fabian M. and Punzmann, Horst and Schröder-Turk, Gerd E. and Saadatfar, Mohammad
  • Towards minimal models for realistic granular materials: Tomographic analysis of bidispersed assemblies of ellipsoids
  • EPJ Web Conf. 140, 06030 (2017)
  • [Link] · [BibTeX]
  • Weis, Simon and Schönhöfer, Philipp W. A. and Schaller, Fabian M. and Schröter, Matthias and Schröder-Turk, Gerd E.
  • Pomelo, a tool for computing Generic Set Voronoi Diagrams of Aspherical Particles of Arbitrary Shape
  • EPJ Web Conf. 140, 06007 (2017)
  • [Link] · [BibTeX]
  • Astrid Kousholt
  • Reconstruction of $n$-dimensional convex bodies from surface tensors.
  • Adv. Appl. Math. 83, 115–144 (2017)
  • [BibTeX]
  • Julia Hörrmann and Anne Marie Svane
  • Local digital algorithms applied to Boolean models.
  • Scand. J. Stat. 44(2), 369–395 (2017)
  • [BibTeX]
  • Rønn-Nielsen, Anders and Jensen, Eva B. Vedel
  • Excursion sets of infinitely divisible random fields with convolution equivalent Lévy measure
  • J. Appl. Probab. 54(3), 833–851 (2017)
  • [Link] · [BibTeX]
  • Prokešová, Michaela and Dvorák, Jiri and Jensen, Eva B. Vedel
  • Two-step estimation procedures for inhomogeneous shot-noise Cox processes
  • Ann. Inst. Statist. Math. 69(3), 513–542 (2017)
  • [Link] · [BibTeX]
  • Anders Rønn-Nielsen and Jon Sporring and Eva B. Vedel Jensen
  • Estimation of sample spacing in stochastic processes
  • Image Anal. Stereol. 36(1), 43–49 (2017)
  • [Link] · [BibTeX]
  • Mecke AND Klaus
  • Biquadrics configure finite projective geometry into a quantum spacetime
  • EPL (Europhysics Letters) 120(1), 10007 (2017)
  • [Link] · [BibTeX]
  • M. Marechal AND S. Dussi AND M. Dijkstra
  • Density functional theory and simulations of colloidal triangular prisms
  • The Journal of Chemical Physics 146(12), 124905 (2017)
  • [Link] · [BibTeX]
  • Sch{ö}nh{ö}fer, Philipp W. A. and Ellison, Laurence J. and Marechal, Matthieu and Cleaver, Douglas J. and Schr{ö}der-Turk, Gerd E.
  • Purely entropic self-assembly of the bicontinuous Ia3̅d gyroid phase in equilibrium hard-pear systems
  • Interface Focus 7(4) (2017)
  • [Link] · [BibTeX]
  • Schella, André and Weis, Simon and Schröter, Matthias
  • Charging changes contact composition in binary sphere packings
  • Phys. Rev. E 95, 062903 (2017)
  • [Link] · [BibTeX]
  • Weis, Simon and Schröter, Matthias
  • Analyzing X-ray tomographies of granular packings
  • Review of Scientific Instruments 88(5), 051809 (2017)
  • [Link] · [BibTeX]

2016

  • Sabrina T. Christensen and Markus Kiderlen
  • Comparison of two global digital algorithms for Minkowski tensor estimation
  • CSGB Research Report 2016-10 (2016)
  • [Link] · [BibTeX]
  • D.J. Daley, Sven Ebert, and Günter Last
  • Two lilypond systems of finite line-segments
  • Probab. Math. Statist., p. 221–246 (2016)
  • [BibTeX]
  • Julia Schulte and Astrid Kousholt
  • Reconstruction of convex bodies from moments
  • Discrete and Computational Geometry (accepted with minor revision), arXiv:1605.06362 (2016)
  • [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Random conical tessellations
  • Discrete Comput. Geom. 52, 395–426 (2016)
  • [arXiv] · [BibTeX]
  • Hug, Daniel and Reitzner, Matthias
  • Introduction to stochastic geometry
  • pages 145–184 in: Bocconi Springer Ser., Vol. 7: Stochastic analysis for Poisson point processes (editor(s): Peccati, Giovanni and Reitzner, Matthias), Bocconi Univ. Press, [place of publication not identified], 2016
  • [BibTeX]
  • Daniel Hug, Günter Last and Matthias Schulte
  • Second-order properties and central limit theorems for geometric functionals of Boolean models
  • Ann. Appl. Probab. 26(1), 73–135 (2016)
  • [Link] · [BibTeX]
  • Klatt, Michael A.
  • Morphometry of random spatial structures in physics
  • FAU University Press, Erlangen 2016
    note: PhD thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg
  • [BibTeX]
  • Reichenbacher, Andreas
  • Random tessellations: Stereological formulae in Euclidean space and Kendall's Problem in spherical space
  • PhD thesis, Karlsruhe Institute of Technology (KIT), Karlsruhe 2016
  • [BibTeX]
  • Ziesche, Sebastian
  • Perkolation auf zufälligen Mosaiken und im Boole'schen Modell
  • PhD thesis, Karlsruhe Institute of Technology (KIT), Karlsruhe 2016
  • [BibTeX]
  • Klatt, Michael A. and Torquato, Salvatore
  • Characterization of maximally random jammed sphere packings. II. Correlation functions and density fluctuations
  • Phys. Rev. E 94(2) (2016)
  • [Link] · [BibTeX]
  • Sabrina Kombrink, Erin P. J. Pearse and Steffen Winter
  • Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable
  • Math. Z. 283(3-4), 1049–1070 (2016)
  • [Link] · [BibTeX]
  • Astrid Kousholt and Markus Kiderlen
  • Reconstruction of convex bodies from surface tensors
  • Adv. Appl. Math. 76, 1–33 (2016)
  • [BibTeX]
  • Benedikt Krüger and Klaus Mecke
  • Genus dependence of the number of (non-)orientable surface triangulations
  • Phys. Rev. D 93, 085018 (2016)
  • [Link] · [BibTeX]
  • Benedikt Krüger, Ella M. Schmidt, and Klaus Mecke
  • Spectral Properties of Unimodular Lattice Triangulations
  • Journal of Statistical Physics 163(3), 514–543 (2016)
  • [Link] · [BibTeX]
  • Günter Last, Giovanni Peccati and Matthias Schulte
  • Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
  • Probab. Theory Related Fields 165(3-4), 667–723 (2016)
  • [Link] · [BibTeX]
  • Mitschke, Holger and Schury, Fabian and Mecke, Klaus and Wein, Fabian and Stingl, Michael and Schröder-Turk, Gerd E.
  • Geometry: The leading parameter for the Poisson's ratio of bending-dominated cellular solids
  • International Journal of Solids and Structures 100–101, 1 - 10 (2016)
  • [Link] · [BibTeX]
  • Ali H. Rafati, Johanna F. Ziegel, Jens R. Nyengaard and Eva B. Vedel Jensen
  • Stereological estimation of particle shape and orientation from volume tensors
  • J. Microsc. 261, 229–237 (2016)
  • [BibTeX]
  • Markus Spanner, Felix Höfling, Sebastian C. Kapfer, Klaus R. Mecke, Gerd E. Schröder-Turk and Thomas Franosch
  • Splitting of the Universality Class of Anomalous Transport in Crowded Media
  • Phys. Rev. Lett. 116, 060601 (2016)
  • [Link] · [BibTeX]
  • René Wittmann and Matthieu Marechal and Klaus Mecke
  • Fundamental measure theory for non-spherical hard particles: predicting liquid crystal properties from the particle shape
  • Journal of Physics: Condensed Matter 28(24), 244003 (2016)
  • [Link] · [BibTeX]
  • Ziesche, Sebastian
  • First passage percolation in Euclidean space and on random tessellations
  • Preprint (2016)
    note: arXiv: 1611.02005
  • [arXiv] · [BibTeX]
  • Ziesche, Sebastian
  • Bernoulli Percolation on random Tessellations
  • Preprint (2016)
    note: arXiv: 1609.04707
  • [arXiv] · [BibTeX]
  • Fodor, Ferenc and Hug, Daniel and Ziebarth, Ines
  • The volume of random polytopes circumscribed around a convex body
  • Mathematika 62(1), 283–306 (2016)
  • [BibTeX]
  • Last, Günter
  • Stochastic Analysis for Poisson Processes
  • pages 1–36 in: Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry (editor(s): Peccati, Giovanni and Reitzner, Matthias), Springer International Publishing, Cham 2016
  • [BibTeX]
  • Schulte, Matthias and Thäle, Christoph
  • Poisson Point Process Convergence and Extreme Values in Stochastic Geometry
  • pages 255–294 in: Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry (editor(s): Peccati, Giovanni and Reitzner, Matthias), Springer International Publishing, Cham 2016
  • [BibTeX]
  • Schulte, Matthias
  • Normal Approximation of Poisson Functionals in Kolmogorov Distance
  • J. Theoret. Probab. 29(1), 96–117 (2016)
  • [Link] · [BibTeX]
  • Schulte, Matthias and Thäle, Christoph
  • Cumulants on Wiener chaos: Moderate deviations and the fourth moment theorem
  • J. Funct. Anal. 270(6), 2223–2248 (2016)
  • [Link] · [BibTeX]
  • Decreusefond, Laurent and Schulte, Matthias and Thäle, Christoph
  • Functional Poisson approximation in Kantorovich–Rubinstein distance with applications to U-statistics and stochastic geometry
  • Ann. Probab. 44(3), 2147–2197 (2016)
  • [Link] · [BibTeX]
  • Schneider, Rolf
  • Second moments related to Poisson hyperplane tessellations
  • J. Math. Anal. Appl. 434(2), 1365–1375 (2016)
  • [Link] · [BibTeX]
  • Schaller, Fabian M. and Weigel, Robert F. B. and Kapfer, Sebastian C.
  • Densest Local Structures of Uniaxial Ellipsoids
  • Phys. Rev. X 6, 041032 (2016)
  • [Link] · [BibTeX]
  • Topic, Nikola and Schaller, Fabian M. and Schröder-Turk, Gerd E. and Pöschel, Thorsten
  • The microscopic structure of mono-disperse granular heaps and sediments of particles on inclined surfaces
  • Soft Matter 12, 3184-3188 (2016)
  • [Link] · [BibTeX]
  • Rønn-Nielsen, Anders and Jensen, Eva B. Vedel
  • Tail asymptotics for the supremum of an infinitely divisible field with convolution equivalent Lévy measure
  • J. Appl. Probab. 53(1), 244–261 (2016)
  • [Link] · [BibTeX]
  • Hahn, Ute and Vedel Jensen, Eva B.
  • Hidden second-order stationary spatial point processes
  • Scand. J. Stat. 43(2), 455–475 (2016)
  • [Link] · [BibTeX]

2015

  • Andreas Bernig and Daniel Hug
  • Kinematic formulas for tensor valuations
  • J. Reine Angew. Math. 2018(736), 141–191 (2015)
  • [BibTeX]
  • Sven Ebert and Günter Last
  • On a class of growth-maximal hard-core processes
  • Stoch. Models 31, 153–184 (2015)
  • [arXiv] · [BibTeX]
  • Myfanwy E. Evans and Gerd E. Schröder-Turk
  • In a material world: hyperbolic geometry in biological materials
  • Asia Pacific Mathematics Newsletter 5, 21 (2015)
  • [BibTeX]
  • Wolfram Hinderer and Daniel Hug and Wolfgang Weil
  • Extensions of translation invariant valuations on polytopes
  • Mathematika 61, 236–258 (2015)
  • [arXiv] · [BibTeX]
  • Julia Hörrmann, Daniel Hug, Matthias Reitzner, and Christoph Thäle
  • Poisson polyhedra in high dimensions
  • Adv. Math 281, 1–39 (2015)
  • [arXiv] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Hölder continuity of normal cycles and of support measures of convex bodies
  • Arch. Math. 104, 83–92 (2015)
  • [arXiv] · [BibTeX]
  • Daniel Hug, Christoph Thäle, and Wolfgang Weil
  • Intersection and proximity of processes of flats
  • J. Math. Anal. Appl. 426, 1–42 (2015)
  • [arXiv] · [BibTeX]
  • Johannes F. Knauf, Benedikt Krüger and Klaus Mecke
  • Entropy of unimodular lattice triangulations
  • EPL (Europhysics Letters) 109(4), 40011 (2015)
  • [Link] · [BibTeX]
  • Astrid Kousholt, Markus Kiderlen, and Daniel Hug
  • Surface tensor estimation from linear sections
  • Math. Nachr. 288, 1647–1672 (2015)
  • [arXiv] · [BibTeX]
  • Benedikt Krüger, Ella M. Schmidt and Klaus Mecke
  • Unimodular lattice triangulations as small-world and scale-free random graphs
  • New Journal of Physics 17(2), 023013 (2015)
  • [Link] · [BibTeX]
  • Günter Last and Hermann Thorisson
  • Construction and characterization of stationary and mass-stationary random measures on R^d
  • Stochastic Process. Appl. 125(12), 4473–4488 (2015)
  • [Link] · [BibTeX]
  • Susan Nachtrab, Matthias J.F. Hoffmann, Sebastian C Kapfer, Gerd E Schröder-Turk and Klaus Mecke
  • Beyond the percolation universality class: the vertex split model for tetravalent lattices
  • New Journal of Physics 17(4), 043061 (2015)
  • [Link] · [BibTeX]
  • Fabian M. Schaller, Sebastian C. Kapfer, James E. Hilton, Paul W. Cleary, Klaus Mecke, Cristiano De Michele, Tanja Schilling, Mohammad Saadatfar, Matthias Schröter, Gary W. Delaney and Gerd E. Schröder-Turk
  • Non-universal Voronoi cell shapes in amorphous ellipsoid packs
  • EPL (Europhysics Letters) 111(2), 24002 (2015)
  • [Link] · [BibTeX]
  • Fabian M. Schaller, Max Neudecker, Mohammad Saadatfar, Gary W. Delaney, Gerd E. Schröder-Turk, and Matthias Schröter
  • Local Origin of Global Contact Numbers in Frictional Ellipsoid Packings
  • Phys. Rev. Lett. 114, 158001 (2015)
  • [Link] · [BibTeX]
  • Philipp Schönhöfer and Klaus Mecke
  • The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals
  • pages 39-52 in: Progress in Probability, Vol. 70: Fractal Geometry and Stochastics V (editor(s): Christoph Bandt, Kenneth Falconer and Martina Zähle), Springer International Publishing, 2015
  • [Link] · [BibTeX]
  • Christian Scholz, Gerd E. Schröder-Turk, and Klaus Mecke
  • Pattern-fluid interpretation of chemical turbulence
  • Phys. Rev. E 91, 042907 (2015)
  • [Link] · [BibTeX]
  • Scholz, Christian and Wirner, Frank and Klatt, Michael A. and Hirneise, Daniel and Schröder-Turk, Gerd E. and Mecke, Klaus and Bechinger, Clemens
  • Direct relations between morphology and transport in Boolean models
  • Phys. Rev. E 92(4), 043023 (2015)
  • [Link] · [BibTeX]
  • Bastian Schuetrumpf, Michael A. Klatt, Kei Iida, Gerd E. Schröder-Turk, Joachim A. Maruhn, KLaus Mecke, and Paul-Gerhard Reinhard
  • Appearance of the single gyroid network phase in «nuclear pasta» matter
  • Phys. Rev. C 91, 025801 (2015)
  • [BibTeX]
  • Evgeny Spodarev, Peter Straka and Steffen Winter
  • Estimation of fractal dimension and fractal curvatures from digital images
  • Chaos Solitons Fractals 75, 134–152 (2015)
  • [Link] · [BibTeX]
  • Svane, Anne Marie
  • Local digital algorithms for estimating the integrated mean curvature of r-regular sets
  • Discrete Comput. Geom. 54, 316–338 (2015)
  • [Link] · [BibTeX]
  • Anne Marie Svane
  • Estimation of Minkowski tensors from digital grey-scale images.
  • Image Anal. Stereol. 34(1), 51–61 (2015)
  • [BibTeX]
  • Anne Marie Svane
  • Asymptotic variance of grey-scale surface area estimators.
  • Adv. Appl. Math. 62, 41–73 (2015)
  • [BibTeX]
  • Svane, Anne Marie
  • Estimation of Minkowski tensors from digital grey-scale images
  • Image Anal. Stereol. 34, 51–61 (2015)
  • [arXiv] · [BibTeX]
  • Svane, Anne Marie
  • Asymptotic variance of grey-scale surface area estimators
  • Adv. Appl. Math. 62, 41–73 (2015)
  • [arXiv] · [BibTeX]
  • Wolfgang Weil
  • Integral geometry of translation invariant functionals I: The polytopal case
  • Adv. in Appl. Math. 66, 46–79 (2015)
  • [arXiv] · [BibTeX]
  • Steffen Winter
  • Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets
  • Adv. Math. 274, 285–322 (2015)
  • [Link] · [BibTeX]
  • Benjamin Winter, Benjamin Butz, Christel Dieker, Gerd E. Schröder-Turk, Klaus Mecke and Erdmann Spiecker
  • Coexistence of both gyroid chiralities in individual butterfly wing scales of Callophrys rubi
  • Proceedings of the National Academy of Sciences 112(42), 12911-12916 (2015)
  • [Link] · [BibTeX]
  • Wittmann, René and Marechal, Matthieu and Mecke, Klaus
  • Elasticity of nematic phases with fundamental measure theory
  • Phys. Rev. E 91, 052501 (2015)
  • [Link] · [BibTeX]
  • René Wittmann and Matthieu Marechal and Klaus Mecke
  • Fundamental mixed measure theory for non-spherical colloids
  • EPL (Europhysics Letters) 109(2), 26003 (2015)
  • [Link] · [BibTeX]
  • Ziegel, Johanna F., Nyengaard, Jens R. and Jensen, Eva B. Vedel
  • Estimating particle shape and orientation using volume tensors
  • Scand. J. Stat. 42, 813–831 (2015)
  • [BibTeX]
  • Gerd E Schröder-Turk
  • The Hard Core of Soft Matter: Kugelsysteme in der weichen Materie
  • Mitteilungen der Deutschen Mathematiker-Vereinigung 23(4), 208-217 (2015)
  • [BibTeX]
  • Susan Nachtrab and Matthias J F Hoffmann and Sebastian C Kapfer and Gerd E Schröder-Turk and Klaus Mecke
  • Beyond the percolation universality class: the vertex split model for tetravalent lattices
  • New Journal of Physics 17(4), 043061 (2015)
  • [Link] · [arXiv] · [BibTeX]

2014

  • Myfanwy E. Evans and Roland Roth
  • Shaping the skin: the interplay of mesoscale geometry and corneocyte swelling
  • Physical Review Letters 112(3), 038102:1–5 (2014)
  • [BibTeX]
  • Myfanwy E. Evans and Roland Roth
  • Solvation of a sponge-like geometry
  • Pure and Applied Chemistry 86(2), 173–179 (2014)
  • [BibTeX]
  • Myfanwy E. Evans and Gerd E. Schröder-Turk
  • In a Material World. Hyperbolische Geometrie in Biologischen Materialien
  • Mitt. Dtsch. Math.-Ver. 22(3), 158–166 (2014)
  • [BibTeX]
  • Ellen Fischermeier, Matthieu Marechal, and Klaus Mecke
  • Dynamical States in Driven Colloidal Liquid Crystals
  • Journal of Chemical Physics 141, 1–7 (2014)
  • [BibTeX]
  • Ellen Fischermeier, Dominik Bartuschat, Tobias Preclik, Matthieu Marechal, and Klaus Mecke
  • Simulation of a hard-spherocylinder liquid crystal with the pe
  • Computer Physics Communications 185, 3156–3161 (2014)
  • [BibTeX]
  • Julia Hörrmann and Daniel Hug
  • On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations
  • Adv. in Appl. Probab. 46, 622–642 (2014)
  • [arXiv] · [BibTeX]
  • Julia Hörrmann, Daniel Hug, Michael Klatt, and Klaus Mecke
  • Minkowski tensor density formulas for Boolean models
  • Adv. in Appl. Math. 55, 48–85 (2014)
  • [arXiv] · [BibTeX]
  • Daniel Hug, Günter Last, Zbynek Pawlas, and Wolfgang Weil
  • Statistics for Poisson models of overlapping spheres
  • Adv. in Appl. Probab. 46, 937–962 (2014)
  • [arXiv] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Approximation properties of random polytopes associated with Poisson hyperplane processes
  • Adv. in Appl. Probab. 46, 919–936 (2014)
  • [PDF] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Local tensor valuations
  • Geom. Funct. Anal. 24, 1516–1564 (2014)
  • [arXiv] · [BibTeX]
  • Eva B. Vedel Jensen and Johanna F. Ziegel
  • Local stereology of tensors of convex bodies
  • Methodol. Comput. Appl. Probab. 16, 263–282 (2014)
  • [Link] · [BibTeX]
  • Estate Khmaladze and Wolfgang Weil
  • Differentation of sets – the general case
  • J. Math. Anal. Appl. 413, 291–310 (2014)
  • [arXiv] · [BibTeX]
  • Jacob J. K. Kirkensgaard, Myfanwy E. Evans, Liliana de Campo and Stephen T. Hyde
  • Hierarchical self-assembly of a striped Gyroid formed by threaded chiral mesoscale networks
  • P Natl Acad Sci USA 111(4), 1271–1276 (2014)
  • [BibTeX]
  • Michael A. Klatt and Salvatore Torquato
  • Characterization of maximally random jammed sphere packings: Voronoi correlation functions
  • Phys. Rev. E 90, 052120 (2014)
  • [BibTeX]
  • Julia Hörrmann
  • The method of densities for non-isotropic Boolean models
  • PhD thesis, Karlsruhe Institute of Technology (KIT), Karlsruhe 2014
  • [BibTeX]
  • Günter Last, Peter Mörters, and Hermann Thorrison
  • Unbiased shifts of Brownian Motion
  • Ann. Probab. 42, 431–463 (2014)
  • [arXiv] · [BibTeX]
  • Günter Last and Eva Ochsenreither
  • Percolation on stationary tessellations: models, mean values and second order structure
  • J. Appl. Probab. 51A, 311–332 (2014)
  • [arXiv] · [BibTeX]
  • Günter Last, Mathew Penrose, Matthias Schulte, and Christoph Thäle
  • Moments and central limit theorems for some multivariate Poisson functionals
  • Adv. in Appl. Probab. 46, 348-364 (2014)
  • [arXiv] · [BibTeX]
  • Dusan Pokorny and Steffen Winter
  • Scaling exponents of curvature measures
  • J. Fractal Geometry 1, 177-219 (2014)
  • [arXiv] · [BibTeX]
  • Bastian Schuetrumpf, Michael A. Klatt, Kei Iida, Gerd E. Schröder-Turk, Joachim A. Maruhn, Klaus Mecke, and Paul-Gerhard Reinhard
  • Minimal surfaces in nuclear pasta with the time-dependent Hartree-Fock approach
  • PoS Bormio 2014, 032 (2014)
  • [BibTeX]
  • Svane, Anne Marie
  • Estimation of intrinsic volumes from digital grey-scale images
  • J. Math. Imaging Vision 49, 352–376 (2014)
  • [Link] · [BibTeX]
  • Svane, Anne Marie
  • Local digital estimators of intrinsic volumes for Boolean models and in the design based setting
  • Adv. in Appl. Probab. 46, 35–58 (2014)
  • [Link] · [BibTeX]
  • Svane, Anne Marie
  • On multigrid convergence of local algorithms for intrinsic volumes
  • J. Math. Imaging Vision 49, 148–172 (2014)
  • [Link] · [BibTeX]
  • Ólöf Thórisdóttir and Markus Kiderlen
  • The invariator principle in convex geometry
  • Adv. in Appl. Math. 58, 63–87 (2014)
  • [Link] · [BibTeX]
  • Ólöf Thórisdóttir, Ali Rafati, and Markus Kiderlen
  • Estimating the surface area of non-convex particles from central planar sections
  • Journal of Microscopy 255(1), 49-64 (2014)
  • [BibTeX]
  • René Wittmann, Matthieu Marechal, and Klaus Mecke
  • Fundamental measure theory for smectic phases: Scaling behavior and higher order terms
  • The Journal of Chemical Physics 141, 064103 (2014)
  • [BibTeX]
  • René Wittmann and Klaus Mecke
  • Surface tension of isotropic-nematic interfaces: Fundamental measure theory for hard spherocylinders
  • The Journal of Chemical Physics 140, 104703 (2014)
  • [Link] · [BibTeX]
  • Colesanti, Andrea and Hug, Daniel and Saor\'in Gómez, Eugenia
  • A Characterization of Some Mixed Volumes via the Brunn–Minkowski Inequality
  • J. Geom. Analysis 24(2), 1064–1091 (2014)
  • [BibTeX]
  • Schulte, Matthias and Thäle, Christoph
  • Distances Between Poisson k-Flats
  • Methodol. Comput. Appl. Probab. 16(2), 311–329 (2014)
  • [Link] · [BibTeX]
  • Goodey, Paul and Weil, Wolfgang
  • Sums of sections, surface area measures, and the general Minkowski problem
  • J. Differential Geom. 97(3), 477–514 (2014)
  • [Link] · [BibTeX]
  • Mughal, Adil and Weaire, Denis
  • Theory of cylindrical dense packings of disks
  • Physical Review E 89(4), 042307 (2014)
  • [BibTeX]
  • M. Marechal and S. Korden and K. Mecke
  • Deriving fundamental measure theory from the virial series: Consistency with the zero-dimensional limit
  • Phys. Rev. E 90, 042131 (2014)
  • [Link] · [BibTeX]

2013

  • Jérémy Auneau-Cognacq, Johanna Ziegel, and Eva B. Vedel Jensen
  • Rotational integral geometry of tensor valuations
  • Adv. in Appl. Math. 50, 429–444 (2013)
  • [Link] · [BibTeX]
  • Myfanwy E. Evans, Andrew M. Kraynik, Douglas A. Reinelt, Klaus Mecke and Gerd E. Schröder-Turk
  • Networklike propagation of cell-level stress in sheared random foams
  • Physical Review Letters 111, 138301 (2013)
  • [Link] · [BibTeX]
  • Daniel Göring, Michael A. Klatt, Christian Stegmann, and Klaus Mecke
  • Morphometric analysis in gamma-ray astronomy using Minkowski functionals
  • A&A 555, A38 (2013)
  • [Link] · [BibTeX]
  • Daniel Hug
  • Random polytopes
  • pages 205–238 in: Lecture Notes in Mathematics 2068: Stochastic Geometry, Spatial Statistics and Random Fields (editor(s): Evgeny Spodarev), 2013
  • [arXiv] · [BibTeX]
  • Daniel Hug, Jan Rataj, and Wolfgang Weil
  • A product integral representation of mixed volumes of two convex bodies
  • Adv. Geom. 13, 633–662 (2013)
  • [arXiv] · [BibTeX]
  • Daniel Hug, Ines Türk, and Wolfgang Weil
  • Flag measures for convex bodies
  • Fields Institute Communications (eds. Monika Ludwig, Vitali D. Milman, Vladimir Oestov, Nicole Tomczak-Jaegermann) 68, 145–187 (2013)
  • [Link] · [BibTeX]
  • Kristjana Ý. Jónsdóttir and Eva B. Vedel Jensen
  • Lévy based error prediction in circular systematic sampling
  • Image Anal. Stereol. 32, 117–125 (2013)
  • [BibTeX]
  • Kristjana Y. Jónsdóttir, Anders Rønn-Nielsen, Kim Mouridsen, and Eva B. Vedel Jensen
  • Lévy based modelling in brain imaging
  • Scand. J. Stat. 40, 511–529 (2013)
  • [Link] · [BibTeX]
  • Jürgen Kampf and Markus Kiderlen
  • Large parallel volumes of finite and compact sets in d-dimensional Euclidean space
  • Doc. Math. 18, 275–295 (2013)
  • [Link] · [BibTeX]
  • Markus Kiderlen and Mario Hörig
  • Matérn's hard core models of types I and II with arbitrary compact grains
  • CSGB Research Report 2013-05 (2013)
  • [Link] · [BibTeX]
  • Michael A. Klatt and Takatoshi Ichikawa and Kei Iida and Naoyuki Itagaki and Joachim A. Maruhn and Kenichi Matsuyanagi and Klaus Mecke and Shigeo Ohkubo and Paul-Gerhard Reinhard and Bastian Schütrumpf
  • Exotic cluster structures in the mean-field theory
  • Journal of Physics: Conference Series 445(1), 012036 (2013)
  • [Link] · [BibTeX]
  • Michel L. Lapidus, Erin Pearse, and Steffen Winter
  • Minkowski measurability results for self-similar tilings and fractals with monophase generators
  • pages 185-203 in: Contemp. Math 600: Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics (editor(s): Michel L. Lapidus, Erin Pearse, and Machiel van Frankenhuijsen), 2013
  • [arXiv] · [BibTeX]
  • Günter Last and Mathew D. Penrose
  • Percolation and limit theory for the Poisson lilypond model
  • Random Structures & Algorithms 42, 226–249 (2013)
  • [arXiv] · [BibTeX]
  • Walter Mickel, Sebastian C. Kapfer, Gerd E. Schröder-Turk, and Klaus Mecke
  • Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter
  • The Journal of Chemical Physics 138(4), 044501:1–7 (2013)
  • [Link] · [BibTeX]
  • Jan Rataj and Steffen Winter
  • Characterization of Minkowski measurability in terms of surface area
  • J. Math. Anal. Appl. 400, 120–132 (2013)
  • [arXiv] · [BibTeX]
  • Fabian M. Schaller, Sebastian C. Kapfer, Myfanwy E. Evans, Matthias J.F. Hoffmann, Tomaso Aste, Mohammad Saadatfar, Klaus Mecke, Gary W. Delaney, Gerd E. Schröder-Turk
  • Set Voronoi diagrams of 3D assemblies of aspherical particles
  • Philosophical Magazine (2013)
  • [BibTeX]
  • Fabian M. Schaller, Max Neudecker, Mohammad Saadatfar, Gary W. Delaney, Klaus Mecke, Gerd E. Schröder-Turk, and Matthias Schröter
  • Tomographic analysis of jammed ellipsoid packings
  • AIP Conf. Proc. 1542, 377 (2013)
  • [BibTeX]
  • G E Schröder-Turk and W Mickel and S C Kapfer and F M Schaller and B Breidenbach and D Hug and K Mecke
  • Minkowski tensors of anisotropic spatial structure
  • New Journal of Physics 15(8), 083028 (2013)
  • [Link] · [arXiv] · [BibTeX]
  • Gerd E. Schröder-Turk, Walter Mickel, Sebastian C. Kapfer, Fabian M. Schaller, Boris Breidenbach, Daniel Hug, and Klaus Mecke
  • Minkowski tensors of anisotropic spatial structure
  • New J. Phys. 15, 083028 (2013)
  • [arXiv] · [BibTeX]
  • Gerd E. Schröder-Turk, Richard Schienlein, Sebastian C. Kapfer, Fabian M. Schaller, Gary W. Delaney, Timothy Senden, Mohammad Saadatfar, Tomaso Aste and Klaus Mecke
  • Minkowski tensors and local structure metrics: amorphous and crystalline sphere packings
  • AIP Conf. Proc. 1542, 349-352 (2013)
  • [BibTeX]
  • Bastian Schütrumpf, Michael A. Klatt, Kei Iida, Joachim Maruhn, Klaus Mecke, and Paul-Gerhard Reinhard
  • Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature
  • pages 012009 in: Journal of Physics: Conference Series, 2013
    note: for FAIRNESS 2012
  • [Link] · [BibTeX]
  • Bastian Schütrumpf, Michael A. Klatt, Kei Iida, Joachim Maruhn, Klaus Mecke, and Paul-Gerhard Reinhard
  • Time Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature
  • Physical Review C 87, 055805 (2013)
  • [arXiv] · [BibTeX]
  • Ólöf Thórisdóttir and Markus Kiderlen
  • Wicksell's problem in local stereology
  • Adv. in Appl. Probab. 45 (2013)
  • [Link] · [BibTeX]
  • Steffen Winter and Martina Zähle
  • Fractal curvature measures of self-similar sets
  • Adv. Geom. 13, 229-244 (2013)
  • [arXiv] · [BibTeX]
  • Schneider, Rolf
  • Extremal Properties of Random Mosaics
  • pages 301–330 in: Bolyai Soc. Math. Stud. 24: Geometry — Intuitive, Discrete, and Convex: A Tribute to László Fejes Tóth (editor(s): Bárány, Imre and Böröczky, Károly J. and Tóth, Gábor Fejes and Pach, János), Springer Berlin Heidelberg, Budapest 2013
  • [BibTeX]
  • Schneider, Rolf
  • Local tensor valuations on convex polytopes
  • Monatsh. Math. 171(3–4), 459–479 (2013)
  • [Link] · [BibTeX]
  • Mitschke, H. and Schröder-Turk, G. E. and Mecke, K. and Fowler, P. W. and Guest, S. D.
  • Symmetry detection of auxetic behaviour in 2D frameworks
  • EPL (Europhysics Letters) 102(6), 66005 (2013)
  • [Link] · [BibTeX]
  • Markus Kiderlen
  • Introduction into integral geometry and stereology.
  • pages 21–48 in: Stochastic geometry, spatial statistics and random fields. Asymptotic methods. Selected papers based on the presentations at the summer academy on stochastic geometry, spatial statistics and random fields, Söllerhaus, Germany, September 13–26, 2009, Berlin: Springer, 2013
  • [BibTeX]
  • Prokešová, Michaela and Jensen, Eva B. Vedel
  • Asymptotic Palm likelihood theory for stationary point processes
  • Ann. Inst. Statist. Math. 65(2), 387–412 (2013)
  • [Link] · [BibTeX]

2012

  • Jérémy Auneau-Cognacq, Jan Rataj, and Eva B. Vedel Jensen
  • Closed form of the rotational Crofton formula
  • Math. Nachr. 285, 164–180 (2012)
  • [Link] · [BibTeX]
  • Kostya Borovkov and Günter Last
  • On Rice's formula for stationary multivariate piecewise smooth processes
  • J. Appl. Probab. 49, 351–363 (2012)
  • [Link] · [BibTeX]
  • Myfanwy E. Evans, Johannes Zirkelbach, Gerd E. Schröder-Turk, Andrew M. Kraynik, and Klaus Mecke
  • Deformation of Platonic foam cells: Effect on growth rate
  • Physical Review E 85(6), 061401:1–9 (2012)
  • [Link] · [BibTeX]
  • Mario Hörig and Claudia Redenbach
  • The maximum volume hard subset model for Poisson processes: simulation aspects
  • Journal of Statistical Computation and Simulation 82, 107–121 (2012)
  • [BibTeX]
  • Jürgen Kampf, Günter Last, and Ilya Molchanov
  • On the convex hull of symmetric stable processes
  • Proc. Amer. Math. Soc. 140, 2527–2535 (2012)
  • [BibTeX]
  • Sebastian C. Kapfer, Walter Mickel, Klaus Mecke, and Gerd E. Schröder-Turk
  • Jammed spheres: Minkowski tensors reveal onset of local crystallinity
  • Physical Review E 85(3), 030301:1–4 (2012)
  • [Link] · [arXiv] · [BibTeX]
  • Michael A. Klatt, Daniel Göring, Christian Stegmann, and Klaus Mecke
  • Shape analysis of counts maps
  • pages 737–740 in: AIP Conference Proceedings, 2012
    note: for 5th Int. Meeting on High Energy Gamma-Ray Astr.
  • [Link] · [BibTeX]
  • Walter Mickel, Gerd E. Schröder-Turk, and Klaus Mecke
  • Tensorial Minkowski functionals of triply periodic minimal surfaces
  • Interface Focus 2(5), 623–633 (2012)
  • [Link] · [BibTeX]
  • Erin Pearse and Steffen Winter
  • Geometry of canonical self-similar tilings
  • Rocky Mountain J. Math. 42, 1327–1357 (2012)
  • [arXiv] · [BibTeX]
  • Mohammad Saadatfar, Manas Mukherjee, Mahyar Madadi, Gerd E. Schröder-Turk, Francisco Garcia-Moreno, Fabian M. Schaller, Stefan Hutzler, Adrian P. Sheppard, John Banhart, and Upadrasta Ramamurty
  • Structure and deformation correlation of closed-cell aluminium foam subject to uniaxial compression
  • Acta Materialia 60(8), 3604–3615 (2012)
  • [Link] · [BibTeX]
  • Christian Scholz, Frank Wirner, Jan Götze, Ulrich Rüde, Gerd E. Schröder-Turk, Klaus Mecke, and Clemens Bechinger
  • Permeability of porous materials determinded from the Euler characteristic
  • Physical Review Letters 109, 264504 (2012)
  • [Link] · [BibTeX]
  • Mitschke, Holger and Robins, Vanessa and Mecke, Klaus and Schroder-Turk, G. E.
  • Finite auxetic deformations of plane tessellations
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 469, 20120465–20120465 (2012)
  • [Link] · [BibTeX]

2011

  • Daniel Hug and Rolf Schneider
  • Faces with given directions in anisotropic Poisson hyperplane mosaics
  • Adv. in Appl. Probab. 43(2), 308–321 (2011)
  • [Link] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Faces of Poisson-Voronoi mosaics
  • Probab. Theory and Related Fields 151, 125–151 (2011)
  • [Link] · [BibTeX]
  • Günter Last and Ryszard Szekli
  • Comparisons and asymptotics for empty space hazard functions of germ-grain models
  • Adv. in Appl. Probab. 43, 942–962 (2011)
  • [BibTeX]
  • Susan Nachtrab, Sebastian C. Kapfer, Christoph H. Arns, Mahyar Madadi, Klaus Mecke, and Gerd E. Schröder-Turk
  • Morphology and linear-elastic moduli of random network solids
  • Advanced Material 23(22–23), 2633–2637 (2011)
  • [BibTeX]
  • Susan Nachtrab, Sebastian C. Kapfer, Dominik Rietzel, Dietmar Drummer, Mahyar Madadi, Christoph H. Arns, Andrew M. Kraynik, Gerd E. Schröder-Turk, and Klaus Mecke
  • Tuning elasticity of open-cell solid foams and bone scaffolds via randomized vertex connectivity
  • Advanced Engineering Materials 14(1–2), 120–124 (2011)
  • [Link] · [BibTeX]
  • Roland Roth, Klaus Mecke, and Martin Oettel
  • Fundamental measure theory for hard disks: fluid and solid
  • The Journal of Chemical Physics 136(8), 081101 (2011)
  • [BibTeX]
  • Gerd E. Schröder-Turk, Walter Mickel, Sebastian C. Kapfer, Michael A. Klatt, Fabian M. Schaller, Matthias J. F. Hoffmann, Nicola Kleppmann, Patrick Armstrong, Alexandra Inayat, Daniel Hug, Martin Reichelsdorfer, Wolfgang Peukert, Wilhelm Schwieger, and Klaus Mecke
  • Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures
  • Advanced Materials 23(22-23), 2535–2553 (2011)
  • [Link] · [BibTeX]
  • Markus Spanner, Felix Höfling, Gerd E. Schröder-Turk, Klaus Mecke, and Thomas Franosch
  • Anomalous transport of a tracer on percolating clusters
  • Journal of Physiscs: Condensed Matter 23, 234120 (2011)
  • [Link] · [BibTeX]