Preprints - IAM Publications


	2023 Manuel Esser and Anna Kraut Effective growth rates in a periodically changing environment: From mutation to invasion 2023 https://arxiv.org/abs/2310.20509

	2021 Manuel Esser and Anna Kraut A general multi-scale description of metastable adaptive motion across fitness valleys 2021 https://arxiv.org/abs/2112.12675

	2019 Alexander Effland, Erich Kobler, Thomas Pock, Marko Rajković and Martin Rumpf Image Morphing in Deep Feature Spaces: Theory and Applications 2019 https://arxiv.org/abs/1910.12672

	Alexander Effland, Erich Kobler, Anne Brandenburg, Teresa Klatzer, Leonie Neuhäuser, Michael Hölzel, Jennifer Landsberg, Thomas Pock and Martin Rumpf Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data International Journal of Computer Assisted Radiology and Surgery, 14(4): 587--599 2019 https://dx.doi.org/10.1007/s11548-019-01919-z

	Alexander Effland, Erich Kobler, Thomas Pock and Martin Rumpf Time Discrete Geodesics in Deep Feature Spaces for Image Morphing In Lellmann, Jan and Burger, Martin and Modersitzki, Jan, editor, Scale Space and Variational Methods in Computer Vision page 171--182. Publisher: Springer International Publishing 2019 https://dx.doi.org/10.1007/978-3-030-22368-7_14

	Mihaela Ifrim, Herbert Koch and Daniel Tataru Dispersive decay of small data solutions for the KdV equation 2019 https://arxiv.org/abs/1901.05934

	Eva Kopfer Super-Ricci flows and improved gradient and transport estimates Probability Theory and Related Fields 2019 10.1007/s00440-019-00904-6 Abstract: We introduce Brownian motions on time-dependent metric measure spaces, proving their existence and uniqueness. We prove contraction estimates for their trajectories assuming that the time-dependent heat flow satisfies transport estimates with respect to every {\$}{\$}L^p{\$}{\$}Lp-Kantorovich distance, {\$}{\$}p{\backslash}in [1,{\backslash}infty ]{\$}{\$}pâ[1,â]. These transport estimates turn out to characterize super-Ricci flows, introduced by Sturm (J Funct Anal 275(12):3504--3569, 2015.)

	2018 Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt and Florian Schweiger Probability to be positive for the membrane model in dimensions 2 and 3 arXiv e-prints: arXiv:1810.05062 2018 https://ui.adsabs.harvard.edu/abs/2018arXiv181005062B

	Matthias Erbar and Eva Kopfer Super Ricci flows for Markov chains arxiv e-print 1805.06703 2018 https://arxiv.org/abs/1805.06703

	Peter Gladbach, Eva Kopfer and Jan Maas Scaling limits of discrete optimal transport arxiv e-print 1809.01092 2018 https://arxiv.org/abs/1809.01092

	Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh Renormalization of the two-dimensional stochastic nonlinear wave equations Transactions of the American Mathematical Society 2018 10.1090/tran/7452

	Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity 2018 http://arxiv.org/abs/1811.07808

	Herbert Koch and Daniel Tataru Conserved energies for the cubic nonlinear Schrödinger equation in one dimension Duke Mathematical Journal, 167(17): 3207â3313 2018 https://arxiv.org/abs/1607.02534

	Herbert Koch and Xian Liao Conserved energies for the one dimensional Gross-Pitaevskii equation: small energy case 2018 https://arxiv.org/abs/1801.08386

	Eva Kopfer and Karl-Theodor Sturm Heat flow on time-dependent metric measure spaces and super-Ricci flows Comm. Pure Appl. Math., 71(12): 2500--2608 2018 10.1002/cpa.21766

	Eva Kopfer Gradient flow for the Boltzmann entropy and Cheeger's energy on time-dependent metric measure spaces Calc. Var. Partial Differential Equations, 57(1): Art. 20, 40 2018 10.1007/s00526-017-1287-5

	Anna Kraut and Anton Bovier From adaptive dynamics to adaptive walks 2018 https://arxiv.org/abs/1810.13188

	2017 Julio Backhoff, Mathias Beiglböck and Sigrid Källblad Martingale Benamou-Brenier: a probabilistic perspective arxiv e-print 1708.04869 2017 https://arxiv.org/abs/1708.04869

	S. Conti, M. Klar and B. Zwicknagl Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity Proc. Roy. Soc. A, 473(2203) 2017 http://rspa.royalsocietypublishing.org/content/473/2203/20170235 Abstract: We consider a partial differential inclusion problem which models stress-free martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter choices there exist piecewise affine continuous solutions for the square-to-oblique and the hexagonal-to-oblique phase transitions. This suggests that for specific crystallographic parameters the hysteresis of the phase transformation will be particularly small.

	Carlota M. Cuesta, Hans Knüpfer and J.J. L. Velázquez Self-similar lifting and persistent touch-down points in the thin film equation 2017 https://arxiv.org/abs/1708.00243

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