The aim of this short paper is to offer a complete characterization of all (not necessarily surjective) isometric embeddings of the Wasserstein space Wp(X), where X is a countable discrete metric space and
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...
The aim of this short paper is to offer a complete characterization of all (not necessarily surjecti...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
It is known that if p ≥ 1, then the isometry group of the metric space (X, ϱ) embeds into the isome...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein space W2(ℝn), we ...
Motivated by Kloeckner's result on the isometry group of the quadratic Wasserstein space (Formula pr...
We prove isometric rigidity for p-Wasserstein spaces over finite-dimensional tori and spheres for al...
Kloeckner discovered that the quadratic Wasserstein space over the real line (denoted by W2(R)) is q...
Let $(X,d,\mathfrak{m})$ be a metric measure space. The study of theWasserstein space $(\mathbb{P}_p...
This second version contains only the first part of the preceeding one. The visibility properties of...
Abstract. — Given a metric space X, one defines its Wasserstein space W2(X) as a set of sufficiently...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...
The aim of this short paper is to offer a complete characterization of all (not necessarily surjecti...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
It is known that if p ≥ 1, then the isometry group of the metric space (X, ϱ) embeds into the isome...
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ...
Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein space W2(ℝn), we ...
Motivated by Kloeckner's result on the isometry group of the quadratic Wasserstein space (Formula pr...
We prove isometric rigidity for p-Wasserstein spaces over finite-dimensional tori and spheres for al...
Kloeckner discovered that the quadratic Wasserstein space over the real line (denoted by W2(R)) is q...
Let $(X,d,\mathfrak{m})$ be a metric measure space. The study of theWasserstein space $(\mathbb{P}_p...
This second version contains only the first part of the preceeding one. The visibility properties of...
Abstract. — Given a metric space X, one defines its Wasserstein space W2(X) as a set of sufficiently...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...
v2: several typos corrected.v3: addition of a missing hypothesis in the secondary result Theorem 1.2...