Strong central limit theorem for isotropic random walks in \({\mathbb{R}^d}\)

DOI10.1007/s00440-010-0295-6zbMath1236.60045OpenAlexW2073478876MaRDI QIDQ644782

Piotr Graczyk, Jean-Jacques Loeb, Tomasz Żak

Publication date: 7 November 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-010-0295-6

zbMATH Keywords

logarithmic Sobolev inequalitycentral limit theoremsisotropic random walksGaussian upper bounds

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) One-parameter semigroups and linear evolution equations (47D06) Convergence of probability measures (60B10)

Related Items

Hypercontractivity for log-subharmonic functions, Convolution of orbital measures on symmetric spaces: A survey, CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND

Cites Work

• Gaussian estimates for Markov chains and random walks on groups
• Dimension free and infinite variance tail estimates on Poisson space
• Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
• Remarks on deviation inequalities for functions of infinitely divisible random vectors
• The missing factor in Hoeffding's inequalities
• Hypercontractivity for log-subharmonic functions
• Exact inequalities for sums of asymmetric random variables, with applications
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Logarithmic Sobolev Inequalities
• Uniform Central Limit Theorems
• On Gaussian and Bernoulli covariance representations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item