Heterogeneous gradient flows in the topology of fibered optimal transport

Author:

Peszek JanORCID,Poyato DavidORCID

Funder

Narodowe Centrum Nauki

HORIZON EUROPE Marie Sklodowska-Curie Actions

H2020 European Research Council

Ministerio de Ciencia e Innovación

Consejería de Transformación Económica, Industria, Conocimiento y Universidades

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference68 articles.

1. Ambrosio, L., Gigli, N.: Hamiltonian ODEs in the Wasserstein space of probability measures. Commun. Pure Appl. Math. 61(1), 18–53 (2008)

2. Ambrosio, L., Gigli, N.: A user’s guide to optimal transport, modelling and optimisation of flows on networks. In: Piccoli, B., Rascle, M. (eds.) Lecture Notes in Mathematics, vol. 2062, pp. 1–155. Springer, Berlin (2013)

3. Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures. Birkhäuser, Basel (2008)

4. Ambrosio, L., Pratelli, A.: Existence and stability results in the $$L^1$$ theory of optimal transportation, optimal transportation and applications. In: Caffarelli, L.A., Salsa, S. (eds.) Lecture Notes in Mathematics, vol. 1813, pp. 123–160. Springer, Berlin (2003)

5. Backhoff, J., Bartl, D., Beiglböck, M., Wiesel, J.: Estimating processes in adapted Wasserstein distance. Preprint at arXiv:2002.07261 (2020)

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