| 2019Margherita Disertori, Franz Merkl and Silke W. W. Rolles
Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model
ALEA Lat. Am. J. Probab. Math. Stat., 16(1): 179--209 2019
https://ui.adsabs.harvard.edu/abs/2017arXiv171002308D
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| Margherita Disertori, Franz Merkl and Silke W. W. Rolles
Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model
ALEA Lat. Am. J. Probab. Math. Stat., 16 (Vol 1): 179--209 2019
https://doi.org/10.30757/ALEA.v16-07
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| Patrick W. Dondl, Patrina S. P. Poh, Martin Rumpf and Stefan Simon
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2227): 20180718 2019
10.1098/rspa.2018.0718
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| Alexander Effland, Sebastian Neumayer and Martin Rumpf
Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds
2019
https://arxiv.org/abs/1902.10930
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| 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
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| 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
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| 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
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| Matthias Erbar, Jan Maas and Melchior Wirth
On the geometry of geodesics in discrete optimal transport
Calc. Var. Partial Differential Equations, 58(1): Art. 19, 19 2019
10.1007/s00526-018-1456-1
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| Matthias Erbar and Karl-Theodor Sturm
Riggidity of cones with bounded curvature
to appear in JEMS, arxiv e-print 1712.08093 2019
https://arxiv.org/abs/1712.08093
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| Maximillian Fels
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Sub-leading order and tightness
2019
https://arxiv.org/abs/1910.09915v1
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| P.L. Ferrari and A. Occelli
Time-time covariance for last passage percolation with generic initial profile
Math. Phys. Anal. Geom., 22: 1 2019
https://doi.org/10.1007/s11040-018-9300-6
Abstract: We consider time correlation for KPZ growth in 1+1 dimensions in a neighborhood of a characteristics. We prove convergence of the covariance with droplet, flat and stationary initial profile. In particular, this provides a rigorous proof of the exact formula of the covariance for the stationary case obtained in [SIGMA 12 (2016), 074]. Furthermore, we prove the universality of the first order correction when the two observation times are close and provide a rigorous bound of the error term. This result holds also for random initial profiles which are not necessarily stationary. |
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| P.L. Ferrari and B. Vető
Fluctuations of the Arctic curve in the tilings of the Aztec diamond on restricted domains
preprint: arXiv:1909.10840 2019
https://arxiv.org/abs/1909.10840
Abstract: We consider uniform random domino tilings of the restricted Aztec diamond which is obtained by cutting off an upper triangular part of the Aztec diamond by a horizontal line. The restriction line asymptotically touches the arctic circle that is the limit shape of the north polar region in the unrestricted model. We prove that the rescaled boundary of the north polar region in the restricted domain converges to the Airy$_2$ process conditioned to stay below a parabola with explicit continuous statistics and the finite dimensional distribution kernels. The limit is the hard-edge tacnode process which was first discovered in the framework of non-intersecting Brownian bridges. The proof relies on a random walk representation of the correlation kernel of the non-intersecting line ensemble which corresponds to a random tiling. |
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| Patrik L. Ferrari and Peter Nejjar
Statistics of TASEP with three merging characteristics
preprint: arXiv:1910.14083 2019
https://arxiv.org/abs/1910.14083
Abstract: In this paper we consider the totally asymmetric simple exclusion process, with non-random initial condition having three regions of constant densities of particles. From left to right, the densities of the three regions are increasing. Consequently, there are three characteristics which meet, i.e., two shocks merge. We study the particle fluctuations at this merging point and show that they are given by a product of three (properly scaled) GOE Tracy-Widom distribution functions. We work directly in TASEP without relying on the connection to last passage percolation. |
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| Marina Ferreira, Jani Lukkarinen, Alessia Nota and Juan J. L. Velázquez
Stationary non-equilibrium solutions for coagulation systems
arXiv e-prints: arXiv:1909.10608 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190910608F
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| Arianna Giunti and Juan J. L. Velázquez
Edge States for the magnetic Laplacian in domains with smooth boundary
arXiv e-prints: arXiv:1912.07261 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv191207261G
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| Fabian Hoppe and Ira Neitzel
Convergence of the SQP Method for Quasilinear Parabolic Optimal Control Problems
2019
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1907.pdf
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| Mihaela Ifrim, Herbert Koch and Daniel Tataru
Dispersive decay of small data solutions for the KdV equation
2019
https://arxiv.org/abs/1901.05934
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| Richard D. James, Alessia Nota and J. J. L. Velázquez
Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: Collision-dominated case
Journal of Nonlinear Science, 3: 1-31 2019
https://link.springer.com/article/10.1007/s00332-019-09535-6
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| 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.) |
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| Jian-Guo Liu, B. Niethammer and Robert L. Pego
Self-similar Spreading in a Merging-Splitting Model of Animal Group Size
Journal of Statistical Physics: 102 2019
10.1007/s10955-019-02280-w
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