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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

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

2017

  • Wolfgang Weil
  • Integral geometry of translation invariant functionals II: The case of general convex bodies
  • Adv. in Appl. Math. 83, 145–171 (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]

2016

  • Andreas Bernig and Daniel Hug
  • Kinematic formulas for tensor valuations
  • J. Reine Angew. Mathematik (to appear) (2016)
  • [arXiv] · [BibTeX]
  • Andreas Bernig and Daniel Hug
  • Integral geometry and algebraic structures for tensor valuations
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Károly Böröczky and Daniel Hug
  • Isotropic measures and stronger forms of the reverse isoperimetric inequality
  • Trans. Amer. Math. Soc. (to appear) (2016)
  • [Link] · [BibTeX]
  • Károly Böröczky, Ferenc Fodor and Daniel Hug
  • Strengthened volume inequalities for L_p zonoids of even isotropic measures
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Sabrina T. Christensen and Markus Kiderlen
  • Comparison of two global digital algorithms for Minkowski tensor estimation
  • Preprint, CSGB Research Reports 2016-10. (2016)
  • [Link] · [BibTeX]
  • Paul Goodey, Daniel Hug, and Wolfgang Weil
  • Kinematic formulas for area measures
  • Indiana Univ. Math. J. (to appear) (2016)
  • [arXiv] · [BibTeX]
  • Paul Goodey, Wolfram Hinderer, Daniel Hug, Jan Rataj and Wolfgang Weil
  • A flag representation of projection functions
  • Adv. Geom. (to appear) , (2016)
  • [BibTeX]
  • Julia Hörrmann and Anne Marie Svane
  • Local digital algorithms applied to Boolean models
  • Scand. J. Stat. (to appear) (2016)
  • [Link] · [BibTeX]
  • Julia Hörrmann and Astrid Kousholt
  • Reconstruction of convex bodies from moments
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Julia Hörrmann and Wolfgang Weil
  • Valuations and Boolean models
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Random conical tessellations
  • Discrete Comput. Geom. 52, 395–426 (2016)
  • [arXiv] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Rotation covariant local tensor valuations on convex bodies.
  • Communications in Contemporary Mathematics (to appear) (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Jan A. Weis
  • Crofton formulae for tensor-valued curvature measures
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Jan Rataj
  • Mixed curvature measures of translative integral geometry
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • SO(n) covariant local tensor valuations on polytopes.
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Matthias Reitzner
  • Introduction to Stochastic Geometry
  • to appear in: Stochastic analysis for Poisson point processes: Malliavin calculus, Wiener-Ito chaos expansions and stochastic geometry (edited by Giovanni Peccati and Matthias Reitzner, Springer & Bocconi Series (2016)) (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Markus Kiderlen and Anne Marie Svane
  • Voronoi-based estimation of Minkowski tensors from finite point samples
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte
  • Second order analysis of geometric functionals of Boolean models
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (2016)
  • [Link] · [BibTeX]
  • Daniel Hug and Rolf Schneider
  • Tensor valuations and their local versions
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (2016)
  • [Link] · [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]
  • Eva B. Vedel Jensen and Markus Kiderlen (eds.)
  • Tensor Valuations and their Applications in Stochastic Geometry and Imaging
  • To appear as Lecture Notes in Mathematics. (2016)
  • [BibTeX]
  • Eva B. Vedel Jensen and Markus Kiderlen
  • Rotation invariant valuations
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (2016)
  • [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]
  • Michael A. Klatt, Günter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller and Gerd E.Schröder-Turk
  • Cell shape analysis of random tessellations based on Minkowski tensors
  • arXiv:1606.07653 [cond-mat] (2016)
    note: arXiv: 1606.07653
  • [Link] · [BibTeX]
  • Michael A. Klatt and Salvatore Torquato
  • 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]
  • Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen and Eva B. Vedel Jensen
  • Stereological estimation of mean particle volume tensors in R^3 from vertical sections
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (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, Mathew David Penrose, and Sergei Zuyev
  • On the capacity functional of the infinite cluster of a Boolean model.
  • To appear in Ann. Appl. Probab. (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]
  • Günter Last and Sebastian Ziesche
  • On the Ornstein-Zernike equation for stationary cluster processes and the random connection model
  • Preprint (2016)
  • [Link] · [BibTeX]
  • Holger Mitschke and Fabian Schury and Klaus Mecke and Fabian Wein and Michael Stingl and Gerd E. Schröder-Turk
  • 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]
  • Dennis Müller
  • A Central Limit Theorem for Lipschitz-Killing Curvatures of Gaussian Excursions
  • Preprint (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]
  • Svane, Anne Marie and Jensen, Eva B. Vedel
  • Rotational Crofton formulae for Minkowski tensors and some affine counter parts.
  • Preprint, CSGB Research Reports 2016-13. (2016)
  • [Link] · [BibTeX]
  • Svane, Anne Marie
  • Valuations in digital geometry
  • to appear in: Tensor Valuations and their Applications in Stochastic Geometry and Imaging (edited by Markus Kiderlen and Eva B. Vedel Jensen), Lecture Notes in Mathematics (2016)
  • [BibTeX]
  • Steffen Winter
  • Localization results for Minkowski contents
  • Preprint (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]
  • Sebastian Ziesche
  • Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on R^d
  • Preprint (2016)
  • [Link] · [BibTeX]

2015

  • Imre Barany, Daniel Hug, Matthias Reitzner, and Rolf Schneider
  • Random points in halfspheres
  • Random Structures Algorithms (to appear) (2015)
  • [arXiv] · [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]
  • 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]

2014

  • D.J. Daley, Sven Ebert, and Günter Last
  • Two lilypond systems of finite line-segments
  • Preprint (2014)
    note: to appear in Probab. Math. Statist.
  • [arXiv] · [BibTeX]
  • 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]
  • 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]
  • Svane, Anne Marie
  • Estimation of Minkowski tensors from digital grey-scale images
  • Preprint (2014)
  • [arXiv] · [BibTeX]
  • Svane, Anne Marie
  • Asymptotic variance of grey-scale surface area estimators
  • Preprint (2014)
  • [arXiv] · [BibTeX]
  • Ólöf Thórisdóttir and Markus Kiderlen
  • The invariator principle in convex geometry
  • Adv. in Appl. Math. 58, 63–87 (2014)
  • [Link] · [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]

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
  • [PDF] · [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
  • Preprint (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]
  • Susan Nachtrab, Matthias Hoffmann, Sebastian C. Kapfer, Gerd E. Schröder-Turk, and Klaus Mecke
  • Percolation transition by random vertex splitting of diamond networks?
  • preprint (2013)
  • [Link] · [arXiv] · [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]
  • Matthias Reitzner, Matthias Schulte, and Christoph Thäle
  • Limit theory for the Gilbert graph
  • Preprint (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]
  • 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]
  • Ólöf Thórisdóttir, Ali Rafati, and Markus Kiderlen
  • Estimating the surface area of non-convex particles from central planar sections
  • Preprint (2013)
  • [Link] · [BibTeX]
  • Steffen Winter and Martina Zähle
  • Fractal curvature measures of self-similar sets
  • Adv. Geom. 13, 229-244 (2013)
  • [arXiv] · [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]
  • Gerd E. Schröder-Turk, Walter Mickel, Sebastian C. Kapfer, Fabian M. Schaller, Boris Breidenbach, Daniel Hug, and Klaus Mecke
  • On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations
  • Preprint, p. (2012)
  • [arXiv] · [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]