Higher order concentration for functions of weakly dependent random variables

DOI10.1214/19-EJP338zbMath1451.60027arXiv1801.06348MaRDI QIDQ2274204

Arthur Sinulis, Holger Sambale, Friedrich Götze

Publication date: 19 September 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06348

zbMATH Keywords

logarithmic Sobolev inequalitiesIsing modelconcentration of measure

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (16)

A note on concentration for polynomials in the Ising model ⋮ Modified log-Sobolev inequalities and two-level concentration ⋮ Logarithmic Sobolev inequalities for finite spin systems and applications ⋮ Uniform Hanson-Wright type concentration inequalities for unbounded entries via the entropy method ⋮ De Finetti theorems for quantum conditional probability distributions with symmetry ⋮ Bit security as computational cost for winning games with high probability ⋮ Higher order concentration on Stiefel and Grassmann manifolds ⋮ Concentration inequalities for random tensors ⋮ Higher order concentration of measure ⋮ Fluctuation results for general block spin Ising models ⋮ Concentration inequalities for bounded functionals via log-Sobolev-type inequalities ⋮ Concentration inequalities for polynomials in \(\alpha\)-sub-exponential random variables ⋮ Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ Concentration inequalities on the multislice and for sampling without replacement ⋮ On mixing of Markov chains: coupling, spectral independence, and entropy factorization

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