A characterization of transportation-information inequalities for Markov processes in terms of dimension-free concentration
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Publication:2686620
DOI10.1214/22-AIHP1249MaRDI QIDQ2686620
Daniel Lacker, Lane Chun Yeung
Publication date: 28 February 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02304
Inequalities; stochastic orderings (60E15) Continuous-time Markov processes on general state spaces (60J25) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
- Unnamed Item
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- Transportation-information inequalities for continuum Gibbs measures
- A characterization of dimension free concentration in terms of transportation inequalities
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Feynman-Kac semigroups, ground state diffusions, and large deviations
- Uniformly integrable operators and large deviations for Markov processes
- A deviation inequality for non-reversible Markov processes
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
- Transportation cost for Gaussian and other product measures
- A new characterization of quadratic transportation-information inequalities
- Transportation-information inequalities for Markov processes
- Concentration of measure principle and entropy-inequalities
- Kantorovich duality for general transport costs and applications
- Bounding \(\bar d\)-distance by informational divergence: A method to prove measure concentration
- Transport-information inequalities for Markov chains
- Bernstein-type Concentration Inequalities for Symmetric Markov Processes
- A non-exponential extension of Sanov’s theorem via convex duality
- Asymptotic evaluation of certain markov process expectations for large time, I
- Asymptotic evaluation of certain Markov process expectations for large time—III
- Séminaire de Probabilités XXXVI
- Semi Log-Concave Markov Diffusions
- Real Analysis and Probability
- Analysis and Geometry of Markov Diffusion Operators
- Transport Inequalities. A Survey
- Extended Laplace principle for empirical measures of a Markov chain
- Liquidity, Risk Measures, and Concentration of Measure
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