Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities
DOI10.1016/j.spa.2021.06.009zbMath1475.60026arXiv2009.00316OpenAlexW3174741319MaRDI QIDQ1979905
Anna Gusakova, Holger Sambale, Christoph Thäle
Publication date: 3 September 2021
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00316
\(L^p\)-estimatesstochastic geometryPoisson processesconcentration inequalitiesmodified \(\Phi\)-Sobolev inequalities
Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (2)
Cites Work
- Unnamed Item
- 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
- Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
- Poisson point processes: large deviation inequalities for the convex distance
- Sharp concentration of random polytopes
- A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
- Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs
- Concentration and moderate deviations for Poisson polytopes and polyhedra
- Moment inequalities for functions of independent random variables
- Concentration inequalities for functionals of Poisson cylinder processes
- Limit theory for the Gilbert graph
- An inscribing model for random polytopes
- Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
- Stochastic and Integral Geometry
- Translative and Kinematic Integral Formulae for Curvature Measures
- Concentration inequalities for measures of a Boolean model
This page was built for publication: Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities