Moments of Gaussian chaoses in Banach spaces
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Publication:2042826
DOI10.1214/20-EJP567zbMath1469.60064arXiv2002.01790OpenAlexW3119290234MaRDI QIDQ2042826
Rafał Latała, Radosław Adamczak, Rafał Meller
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01790
Gaussian processesmetric entropyGaussian chaosestail and moment inequalitiespolynomials in independent random variables
Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Probability theory on linear topological spaces (60B11)
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- Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order
- Estimates of moments and tails of Gaussian chaoses
- A note on the Hanson-Wright inequality for random vectors with dependencies
- Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion
- Noise stability of functions with low influences: invariance and optimality
- Decoupling inequalities for multilinear forms in independent symmetric random variables
- Decoupling inequalities for polynomial chaos
- Decoupling and Khintchine's inequalities for \(U\)-statistics
- On decoupling, series expansions, and tail behavior of chaos processes
- A new central limit theorem and decomposition for Gaussian polynomials, with an application to deterministic approximate counting
- Decoupling inequalities for the tail probabilities of multivariate \(U\)- statistics
- Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails
- Hanson-Wright inequality in Banach spaces
- The free Markoff field
- Normal Approximations with Malliavin Calculus
- The Malliavin Calculus and Related Topics
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Gaussian Hilbert Spaces
- Analysis in Banach Spaces
- The Johnson-Lindenstrauss lemma is optimal for linear dimensionality reduction
- Analysis of Boolean Functions
- Upper and Lower Bounds for Stochastic Processes