After a brief introduction on gradient flows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of \cite{GradientFlows,HeatCompact}) of the existence and uniqueness of the gradient flow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below
We present a short overview on the strongest variational formulation for gradi- ent flows of geodesi...
In this treatise we present some important results of the theory of the Wasserstein space of proba...
We provide a quick overview of various calculus tools and of the main results concerning the heat fl...
We prove existence and uniqueness of the gradient flow of the Entropy functional under the only assu...
The purpose of this thesis is to present in detail two theories, not deductible from each other, but...
In the first part of this thesis, we present a new notion of Ricci curvature that applies to finite ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
AbstractLet K be an irreducible and reversible Markov kernel on a finite set X. We construct a metri...
AbstractLet K be an irreducible and reversible Markov kernel on a finite set X. We construct a metri...
We present a short overview on the strongest variational formulation for gradi- ent flows of geodesi...
We present a short overview on the strongest variational formulation for gradi- ent flows of geodesi...
In this treatise we present some important results of the theory of the Wasserstein space of proba...
We provide a quick overview of various calculus tools and of the main results concerning the heat fl...
We prove existence and uniqueness of the gradient flow of the Entropy functional under the only assu...
The purpose of this thesis is to present in detail two theories, not deductible from each other, but...
In the first part of this thesis, we present a new notion of Ricci curvature that applies to finite ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001, substantially extended and ...
AbstractLet K be an irreducible and reversible Markov kernel on a finite set X. We construct a metri...
AbstractLet K be an irreducible and reversible Markov kernel on a finite set X. We construct a metri...
We present a short overview on the strongest variational formulation for gradi- ent flows of geodesi...
We present a short overview on the strongest variational formulation for gradi- ent flows of geodesi...
In this treatise we present some important results of the theory of the Wasserstein space of proba...
We provide a quick overview of various calculus tools and of the main results concerning the heat fl...