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
2018
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
2017
Jan Maas, Martin Rumpf and Stefan Simon Transport based image morphing with intensity modulation In Proc. of International Conference on Scale Space and Variational Methods in Computer Vision
Publisher: Springer, Cham
2017 http://dx.doi.org/10.1007/978-3-319-58771-4_45
2016
Jan Maas, Martin Rumpf and Stefan Simon Generalized optimal transport with singular sources 2016 http://arxiv.org/abs/1607.01186
2015
Matthias Erbar, Jan Maas and Prasad Tetali Ricci curvature bounds for Bernoulli-Laplace and random transposition models Ann. Fac. Sci. Toulouse Math., ArXiv e-prints, 24(4): 781-800 2015 http://arxiv.org/abs/1409.8605
Abstract: We calculate a Ricci curvature lower bound for some classical examples of random walks, namely, a chain on a slice of the $n$-dimensional discrete cube (the so-called Bernoulli-Laplace model) and the random transposition shuffle of the symmetric group of permutations on $n$ letters.
Max Fathi and Jan Maas Entropic Ricci curvature bounds for discrete interacting systems Ann. Appl. Prob. 2015 http://arxiv.org/abs/1501.00562
Jan Maas and Daniel Matthes Long-time behavior of a finite volume discretization for a fourth order diffusion equation ArXiv e-prints 2015 http://arxiv.org/abs/1505.03178