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Optimal Transport and Stochastic Dynamics

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Publications

Gradient flow formulation of diffusion equations in the Wasserstein space over a Metric graph

Author(s): Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio
Published in: Netw. Heterog. Media, 15561801, 2022, ISSN 1556-1801
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2022023

A dual formula for the noncommutative transport distance

Author(s): Melchior Wirth
Published in: J. Stat. Phys., 00224715, 2022, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.48550/arxiv.2104.11923

Sobolev-to-Lipschitz property on $${\mathsf {QCD}}$$-spaces and applications

Author(s): Lorenzo Dello Schiavo; Kohei Suzuki
Published in: Mathematische Annalen, 00255831, 2021, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02331-2

Homogenisation of one-dimensional discrete optimal transport

Author(s): Peter Gladbach; Eva Kopfer; Jan Maas; Lorenzo Portinale
Published in: Journal de Mathematiques Pures et Appliquees, 3, 2020, Page(s) 204-234, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.02.008

Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions

Author(s): Dominik Forkert; Jan Maas; Lorenzo Portinale
Published in: SIAM J. Math. Anal., 00361410, 2022, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1410968

Ergodic decomposition of Dirichlet forms via direct integrals and applications

Author(s): Lorenzo Dello Schiavo
Published in: Potential Analysis, 3, 2021, ISSN 0926-2601
Publisher: Kluwer Academic Publishers
DOI: 10.48550/arxiv.2003.01366

ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE

Author(s): ARSENIY AKOPYAN, SERGEY AVVAKUMOV
Published in: Forum of Mathematics, Sigma, 6, 2018, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2018.7

On the geometry of geodesics in discrete optimal transport

Author(s): Matthias Erbar, Jan Maas, Melchior Wirth
Published in: Calculus of Variations and Partial Differential Equations, 58/1, 2019, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-018-1456-1

Transition to Shocks in TASEP and Decoupling of Last Passage Times

Author(s): Peter Nejjar
Published in: Latin American Journal of Probability and Mathematical Statistics, 15/2, 2018, Page(s) 1311, ISSN 1980-0436
Publisher: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.30757/alea.v15-49

The Free Boundary Schur Process and Applications I

Author(s): Dan Betea, Jérémie Bouttier, Peter Nejjar, Mirjana Vuletić
Published in: Annales Henri Poincaré, 19/12, 2018, Page(s) 3663-3742, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-018-0723-1

Limit law of a second class particle in TASEP with non-random initial condition

Author(s): P. L. Ferrari, P. Ghosal, P. Nejjar
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 55/3, 2019, Page(s) 1203-1225, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/18-aihp916

Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

Author(s): Eric A. Carlen, Jan Maas
Published in: Journal of Statistical Physics, 178/2, 2020, Page(s) 319-378, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02434-w

Trajectorial dissipation and gradient flow for the relative entropy in Markov chains

Author(s): Ioannis Karatzas; Jan Maas; Walter Schachermayer
Published in: Communications in Information and Systems, 7, 2021, ISSN 1526-7555
Publisher: International Press
DOI: 10.4310/cis.2021.v21.n4.a1

Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.

Author(s): Jan Maas; Alexander Mielke
Published in: Journal of Statistical Physics, 6, 2020, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.20347/wias.preprint.2712

Scaling Limits of Discrete Optimal Transport

Author(s): Peter Gladbach; Eva Kopfer; Jan Maas
Published in: SIAM J. Math. Anal., 2020
Publisher: Cornell University
DOI: 10.1137/19m1243440

Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures

Author(s): Akopyan, Arseniy; Karasev, Roman
Published in: Lecture notes in Math. Springer, 2020, Page(s) 1-27, ISBN 9783030360191
Publisher: Springer Nature
DOI: 10.1007/978-3-030-36020-7_1

New edge asymptotics of skew Young diagrams via free boundaries

Author(s): Betea, Dan; Bouttier, Jérémie; Nejjar, Peter; Vuletić , Mirjana
Published in: http://fpsac2019.fmf.uni-lj.si/, 10, 2019
Publisher: Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics