Optimal Transport and Stochastic Dynamics

Project Information

OPTRASTOCH

Grant agreement ID: 716117

DOI

10.3030/716117

Project closed

EC signature date 1 December 2016

Start date 1 February 2017

End date 31 July 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 074 590,00

EU contribution

€ 1 074 590,00

Coordinated by

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (14)

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, Issue 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., Issue 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, Issue 2, 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, Issue 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., Issue 8, 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 6, 2020, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.20347/wias.preprint.2712

Other (1)

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

Book chapters (1)

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

Conference proceedings (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/, Issue 10, 2019
Publisher: Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics