Publications

Preprints

M. A. Klatt and S. Winter. Geometric functionals of fractal percolation. II. Almost sure convergence and second moments. arXiv:2204.05878-1–28 (2022)
C. Spengler, B. A. Glatz, E. Maikranz, M. Bischoff, M. A. Klatt, L. Santen, A. Fery, K. Jacobs. The adhesion capability of S. aureus cells is heterogeneously distributed over the cell envelope. bioRxiv 2021.01.05.425282 (2021).

Publications in Peer-Reviewed Journals

M. A. Klatt, G. Last. On strongly rigid hyperfluctuating random measures. To appear in Appl. Probab. J. (2022).
M. A. Klatt, M. Hörmann, K. Mecke. Characterization of Anisotropic Gaussian Random Fields by Minkowski Tensors. J. Stat. Mech.-Theory E. 2022:043301-1–25 (2022)
M. A. Klatt, R. M. Ziff, S. Torquato. Critical pore radius and transport properties of disordered hard- and overlapping-sphere models. Phys. Rev. E 104:014127-1–10 (2021).
C. Collischon, M. Sasaki, K. Mecke, S. D. Points, and M. A. Klatt. Tracking down the origin of superbubbles and supergiant shells in the Magellanic Clouds with Minkowski tensor analysis. Astronomy and Astrophysics, 653:A16-1–18 (2021)
M. A. Klatt, P. J. Steinhardt, S. Torquato. Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks. Phys. Rev. Lett. 127:037401-1–6 (2021).
S. Torquato, J. Kim, M. A. Klatt. Local Number Fluctuations in Hyperuniform and Nonhyperuniform Systems: Higher-Order Moments and Distribution Functions. Phys. Rev. X 11:021028-1–27 (2021).
T. M. Hain, M. A. Klatt, G. E. Schröder-Turk. Low-temperature statistical mechanics of the Quantizer problem: Fast quenching and equilibrium cooling of the three-dimensional Voronoi liquid. J. Chem. Phys. 153:234505-1–11 (2020).
M. A. Klatt and S. Winter. Geometric functionals of fractal percolation. Adv. Appl. Probab. 52:1085–1126 (2020)
M. A. Klatt, G. Last, D. Yogeshwaran. Hyperuniform and rigid stable matchings. Random Struct Alg. 57:439–473 (2020)
M. A. Klatt, J. Kim, S. Torquato. Cloaking the Underlying Long-Range Order of Randomly Perturbed Lattices. Editors’ suggestion Phys. Rev. E 101:032118-1–9 (2020)
M. A. Klatt and K. Mecke. Detecting structured sources in noisy images via Minkowski maps. EPL (Europhysics Letters) 128:60001-p1–8 (2019)
M. A. Klatt, P. J. Steinhardt, S. Torquato. Phoamtonic designs yield sizeable 3D photonic band gaps. Proc. Natl. Acad. Sci. U.S.A. 116:23480–23486 (2019)
C. Spengler, F. Nolle, J. Mischo, T. Faidt, S. Grandthyll, N. Thewes, P. Jung, M. Koch, F. Müller, M. Bischoff, M. A. Klatt, K. Jacobs. Strength of bacterial adhesion on nanostructured surfaces quantified by substrate morphometry. Nanoscale 11:19713–19722 (2019)
M. A. Klatt, J. Lovrić, D. Chen, S. C. Kapfer, F. M. Schaller, P. W. A. Schönhöfer, B. S. Gardiner, A.-S. Smith, G. E. Schröder-Turk, S. Torquato. Universal hidden order in amorphous cellular geometries. Nat. Commun. 10:811 (2019)
B. Ebner, N. Henze, M. A. Klatt, K. Mecke. Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images. Electron. J. Statist 12:2873–2904 (2018)
M. A. Klatt and S. Torquato. Characterization of maximally random jammed sphere packings. III. Transport and Electromagnetic Properties Via Correlation Functions. Phys. Rev. E, 97:012118-1–17 (2018)
M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative. Med. Phys. 44:3663–3675 (2017)
M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Mean-intercept anisotropy analysis of porous media. I. Analytic formulae for anisotropic Boolean models. Med. Phys. 44:3650–3662 (2017)
B. D. Wilts, B. Apeleo Zubiri, M. A. Klatt, B. Butz, M. G. Fischer, S. T. Kelly, E. Spiecker, U. Steiner, G. E. Schröder-Turk. Butterfly gyroid nanostructures as a time-frozen glimpse of intracellular membrane development. Science Advances, 3:e1603119-1–8 (2017)
M. A. Klatt, G. E. Schröder-Turk, K. Mecke. Anisotropy in finite continuum percolation: Threshold estimation by Minkowski functionals. J. Stat. Mech.-Theory E., 2017:023302-1–28 (2017)
M. A. Klatt, S. Torquato. Characterization of maximally random jammed sphere packings. II. Correlation functions and density fluctuations. Phys. Rev. E, 94:022152-1–22 (2016)
C. Scholz, F. Wirner, M. A. Klatt, D. Hirneise, G. E. Schröder-Turk, K. Mecke, and C. Bechinger. Direct Relations between Morphology and Transport in Boolean Models. Phys. Rev. E, 92:043023-1–11 (2015)
B. Schuetrumpf, M. A. Klatt, K. Iida, G. E. Schröder-Turk, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Appearance of the Single Gyroid Network Phase in ‘Nuclear Pasta’ Matter. Phys. Rev. C, 91: 025801-1–7 (2015)
M. A. Klatt and S. Torquato. Characterization of Maximally Random Jammed Sphere Packings: Voronoi Correlation Functions. Phys. Rev. E, 90:052120-1–12 (2014)
J. Hörrmann, D. Hug, M. A. Klatt, and K. Mecke. Minkowski Tensor Density Formulas for Boolean Models. Adv. Appl. Math., 55:48–85 (2014)
D. Göring, M. A. Klatt, C. Stegmann, and K. Mecke. Morphometric Analysis in Gamma-Ray Astronomy using Minkowski Functionals. Astron. Astrophys., 555:A38-1–7 (2013)
B. Schuetrumpf, M. Klatt, K. Iida, J. Maruhn, K. Mecke, and P.-G. Reinhard. Time-dependent Hartree-Fock Approach to Nuclear ‘Pasta’ at Finite Temperature. Phys. Rev. C, 87:055805-1–6 (2013)
G. E. Schröder-Turk, W. Mickel, S. C. Kapfer, M. A. Klatt, F. M. Schaller, M. J. F. Hoffmann, N. Kleppmann, P. Armstrong, A. Inayat, D. Hug, M. Reichelsdorfer, W. Peukert, W. Schwieger, and K. Mecke. Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures. Adv. Mater., 23:2535–2553 (2011)

Book Chapters

M. A. Klatt, G. Last, K. Mecke, C. Redenbach, F. M. Schaller, G. E. Schröder-Turk. Cell shape analysis of random tessellations based on Minkowski tensors. In Lecture Notes in Mathematics Tensor Valuations and their Applications in Stochastic Geometry and Imaging (eds. E. B. Vedel Jensen and M. Kiderlen) 2177:385–421 (Springer International Publishing, 2017)
D. Hug, M. A. Klatt, G. Last, M. Schulte. Second order analysis of geometric functionals of Boolean models. In Lecture Notes in Mathematics Tensor Valuations and their Applications in Stochastic Geometry and Imaging (eds. E. B. Vedel Jensen and M. Kiderlen) 2177:339–383 (Springer International Publishing, 2017)

Conference Proceedings

C. Collischon, M. A. Klatt, C. Räth, and M. Sasaki. Minkowski Tensor-Based Shape Analysis Methods on the Sphere. To appear in Proceedings of the 56th Rencontres de Moriond Cosmology session arXiv:2202.08976-1–2 (2022)
S. Hong, M. A. Klatt, G. E. Schröder-Turk, N. François, M. Saadatfar. Dynamical arrest of topological defects in 2D hyperuniform disk packings. EPJ Web of Conferences (Powders & Grains) 2021 249:15002-1–4 (2021)
B. Schuetrumpf, M. A. Klatt, K. Iida, G. E. Schröder-Turk, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Minimal Surfaces in Nuclear Pasta with the Time-Dependent Hartree-Fock Approach. PoS Bormio, 2014:032-1–8 (2014)
M. A. Klatt, T. Ichikawa, K. Iida, N. Itagaki, J. A. Maruhn, K. Matsuyanagi, K. Mecke, S. Ohkubo, P.-G. Reinhard, and B. Schuetrumpf. Exotic Cluster Structures in the Mean-Field Theory. J. Phys.: Conf. Ser., 445:012036-1–6 (2013)
B. Schuetrumpf, M. A. Klatt, K. Iida, J. A. Maruhn, K. Mecke, and P.-G. Reinhard. Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature. J. Phys.: Conf. Ser., 426:012009-1–6 (2013)
M. A. Klatt, D. Göring, C. Stegmann, and K. Mecke. Shape Analysis of Counts Maps. AIP Conf. Proc., 1505:737–740 (2012)