Generalized transportation-cost inequalities and applications
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Publication:930374
DOI10.1007/s11118-008-9079-3zbMath1142.60052OpenAlexW2077851810WikidataQ125634506 ScholiaQ125634506MaRDI QIDQ930374
Publication date: 30 June 2008
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-008-9079-3
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Cites Work
- Unnamed Item
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- On the parabolic kernel of the Schrödinger operator
- Harnack inequalities on a manifold with positive or negative Ricci curvature
- Transportation cost inequalities on path spaces over Riemannian manifolds
- Probability distance inequalities on Riemannian manifolds and path spaces.
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Hypercontractivity of Hamilton-Jacobi equations.
- Measure transport on Wiener space and the Girsanov theorem.
- Transportation cost inequalities on path and loop groups
- Ultracontractive bounds on Hamilton-Jacobi solutions
- Talagrand's \(T_2\)-transportation inequality w.r.t. a uniform metric for diffusions
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- Transportation cost for Gaussian and other product measures
- Analysis on free Riemannian path spaces
- Modified logarithmic Sobolev inequalities and transportation inequalities
- A large deviation approach to some transportation cost inequalities
- The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
- Logarithmic Sobolev Inequalities
- Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below
- Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
- ON THE COMPACTNESS OF MANIFOLDS
- The geometry of Markov diffusion generators