Abstract. We generalize some classical globalization theorems in Alexandrov geometry with a probability of certain existence of geodesics. A Weighted Alexandrov’s Lemma is developed as a new tool
We endow the set of probability measures on a weighted graph with a Monge–Kantorovich metric induced...
In the recent paper [3] we prove the existence of normal geodesics connecting quite general submani...
Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullba...
We will prove a decomposition for Wasserstein geodesics in the following sense: let (X, d, m) be a n...
In this paper, we study the characterization of geodesics for a class of distances between probabili...
We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the ave...
We associate certain probability measures on R to geodesics in the space HL of positively curved met...
We discuss globalization for geometric partial comodules in a monoidal category with pushouts and we...
Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullba...
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book pro...
We develop the theory of a metric, which we call the $\nu$-based Wasserstein metric and denote by $W...
We develop the theory of a metric, which we call the $\nu$-based Wasserstein metric and denote by $W...
metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively cur...
The geometric approach to optimal transport and information theory has triggered the interpretation ...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
We endow the set of probability measures on a weighted graph with a Monge–Kantorovich metric induced...
In the recent paper [3] we prove the existence of normal geodesics connecting quite general submani...
Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullba...
We will prove a decomposition for Wasserstein geodesics in the following sense: let (X, d, m) be a n...
In this paper, we study the characterization of geodesics for a class of distances between probabili...
We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the ave...
We associate certain probability measures on R to geodesics in the space HL of positively curved met...
We discuss globalization for geometric partial comodules in a monoidal category with pushouts and we...
Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullba...
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book pro...
We develop the theory of a metric, which we call the $\nu$-based Wasserstein metric and denote by $W...
We develop the theory of a metric, which we call the $\nu$-based Wasserstein metric and denote by $W...
metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively cur...
The geometric approach to optimal transport and information theory has triggered the interpretation ...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
We endow the set of probability measures on a weighted graph with a Monge–Kantorovich metric induced...
In the recent paper [3] we prove the existence of normal geodesics connecting quite general submani...
Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullba...