Restricted hypercontractivity on the Poisson space
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Publication:5113422
DOI10.1090/proc/14964zbMath1443.60027arXiv1904.08211OpenAlexW2996384538WikidataQ126547286 ScholiaQ126547286MaRDI QIDQ5113422
Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang
Publication date: 11 June 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.08211
Poisson processeshypercontractivitymodified logarithmic Sobolev inequalitysuperconcentrationimproved Poincaré inequality
Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Stochastic calculus of variations and the Malliavin calculus (60H07)
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Cites Work
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- Concentration for Poisson functionals: component counts in random geometric graphs
- Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry
- Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited
- Poisson point processes: large deviation inequalities for the convex distance
- Modified logarithmic Sobolev inequalities in discrete settings
- Dimension free and infinite variance tail estimates on Poisson space
- On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
- Discrete isoperimetric and Poincaré-type inequalities
- On Russo's approximate zero-one law
- On logarithmic Sobolev inequalities for continuous time random walks on graphs
- A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
- Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs
- The fourth moment theorem on the Poisson space
- Concentration and deviation inequalities in infinite dimensions via covariance representations
- Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
- Superconcentration and Related Topics
- Normal Approximations with Malliavin Calculus
- A Simple Analytic Proof of an Inequality by P. Buser
- Concentration inequalities for measures of a Boolean model
- Hypercontractive Measures, Talagrand’s Inequality, and Influences
- Analysis and Geometry of Markov Diffusion Operators
- Introduction to Malliavin Calculus
- Lectures on the Poisson Process
- The geometry of Markov diffusion generators
