Add to ORKGIn many modern approaches to solving Monge's mass transport problem (that is, optimal transport with respect to linear costs) in various metric spaces, one attempts to reduce the problem to one dimension by decomposing the measures along so-called transport (geodesic) rays. Certain key Lipschitz estimates on geodesics are needed in order provide such a decomposition. Herein these estimates for the (three dimensional, sub-Riemannian) Heisenberg Group are provided as a step towards solving Monge's problem in this metric space
This thesis is devoted to to the study of optimal transport problems, alternative to the so called M...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
We formulate the optimal transportation problem, first with Monge's original question and then with ...
In many modern approaches to solving Monge's mass transport problem (that is, optimal transport with...
In many modern approaches to solving Monge's mass transport problem (that is, optimal transport with...
In this thesis we consider the Heisenberg group H_n=\R^{2n+1} with its Carnot-Carathéodory distance ...
In this thesis we consider the Heisenberg group $\He_n=\R^{2n+1}$ with its Carnot-Carathéodory dista...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group Hⁿ. Our re...
International audienceWe study the optimal transport problem in sub-Riemannian manifolds where the c...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
Cette thèse est dédiée à l'étude des problèmes de transport optimal, alternative au problème de Mong...
The main topic of this work is concerned with optimal transport approach to the localisation techniq...
Cette thèse est dédiée à l'étude des problèmes de transport optimal, alternative au problème de Mong...
In this Note, we present geodesic versions of the Borell–Brascamp–Lieb, Brunn–Minkowski and entropy ...
This thesis is devoted to to the study of optimal transport problems, alternative to the so called M...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
We formulate the optimal transportation problem, first with Monge's original question and then with ...
In many modern approaches to solving Monge's mass transport problem (that is, optimal transport with...
In many modern approaches to solving Monge's mass transport problem (that is, optimal transport with...
In this thesis we consider the Heisenberg group H_n=\R^{2n+1} with its Carnot-Carathéodory distance ...
In this thesis we consider the Heisenberg group $\He_n=\R^{2n+1}$ with its Carnot-Carathéodory dista...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group Hⁿ. Our re...
International audienceWe study the optimal transport problem in sub-Riemannian manifolds where the c...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
Cette thèse est dédiée à l'étude des problèmes de transport optimal, alternative au problème de Mong...
The main topic of this work is concerned with optimal transport approach to the localisation techniq...
Cette thèse est dédiée à l'étude des problèmes de transport optimal, alternative au problème de Mong...
In this Note, we present geodesic versions of the Borell–Brascamp–Lieb, Brunn–Minkowski and entropy ...
This thesis is devoted to to the study of optimal transport problems, alternative to the so called M...
In the first part of the dissertation we prove that, under quite general conditions on a cost functi...
We formulate the optimal transportation problem, first with Monge's original question and then with ...