Logarithmic Sobolev inequalities for finite spin systems and applications

DOI10.3150/19-BEJ1172zbMath1462.60034arXiv1807.07765MaRDI QIDQ2174983

Holger Sambale, Arthur Sinulis

Publication date: 27 April 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07765

zbMATH Keywords

logarithmic Sobolev inequalitycentral limit theoremmixing timeconcentration of measurespin systemsexponential random graph modelfinite product spaces

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Random graphs (graph-theoretic aspects) (05C80) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Modified log-Sobolev inequalities and two-level concentration ⋮ Some notes on concentration for \(\alpha\)-subexponential random variables ⋮ Unnamed Item ⋮ Higher order concentration for functions of weakly dependent random variables ⋮ 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 ⋮ Online network monitoring ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ On mixing of Markov chains: coupling, spectral independence, and entropy factorization ⋮ Statistics of the two star ERGM

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