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
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to pr...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...
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 Note, we present geodesic versions of the Borell–Brascamp–Lieb, Brunn–Minkowski and entropy ...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
Abstract. We derive in an elementary way the shape of geodesics of the left invariant Carnot-Carathe...
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The...
We prove the existence of a solution to Monge’s transport problem between two compactly supported Bo...
In this thesis we consider the Heisenberg group H_n=\R^{2n+1} with its Carnot-Carathéodory distance ...
We consider the area functional for t-graphs in the sub-Riemannian Heisenberg group and study minimi...
In this thesis we consider the Heisenberg group $\He_n=\R^{2n+1}$ with its Carnot-Carathéodory dista...
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to pr...
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to pr...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...
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 Note, we present geodesic versions of the Borell–Brascamp–Lieb, Brunn–Minkowski and entropy ...
AbstractIn this paper we consider the problem of optimal transportation of absolutely continuous mas...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
Abstract. We derive in an elementary way the shape of geodesics of the left invariant Carnot-Carathe...
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The...
We prove the existence of a solution to Monge’s transport problem between two compactly supported Bo...
In this thesis we consider the Heisenberg group H_n=\R^{2n+1} with its Carnot-Carathéodory distance ...
We consider the area functional for t-graphs in the sub-Riemannian Heisenberg group and study minimi...
In this thesis we consider the Heisenberg group $\He_n=\R^{2n+1}$ with its Carnot-Carathéodory dista...
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to pr...
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to pr...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...