688 citations
- Boris Haspot2 profiles10 · h 18
- C. Robert9 · h 74
- J. Dolbeault9 · h 42
- Jean Dolbeault2 profiles8 · h 22
- A. Guillin7 · h 40
- Gabriel Peyré7
- J. Marin7 · h 34
- M. Esteban2 profiles7 · h 39
- Olivier Wintenberger2 profiles6 · h 19
- Vincent Vargas2 profiles6 · h 31
- Yannick Viossat2 profiles6 · h 14
- Filippo Santambrogio5
- Université Paris Dauphine-PSLFR70 papers
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- Laboratoire de Mathématiques Blaise PascalFR7 papers
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Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015★ 32 cited
An Interpolating Distance between Optimal Transport and Fisher-Rao
Lenaic Chizat, Bernhard Schmitzer, Gabriel Peyré +1
This paper defines a new transport metric over the space of non-negative measures. This metric interpolates between the quadratic Wasserstein and the Fisher-Rao metrics and general…
math.AP2015★ 7 cited
On systems of continuity equations with nonlinear diffusion and nonlocal drifts
Guillaume Carlier, Maxime Laborde
This paper is devoted to existence and uniqueness results for classes of nonlinear diffusion equations (or systems) which may be viewed as regular perturbations of Wasserstein grad…
math.AP2015
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
Jean Dolbeault, Giuseppe Toscani
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porou…