Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures

DOI10.1214/22-EJP810zbMath1498.60081arXiv1910.06857MaRDI QIDQ2082666

Andrei Velicu

Publication date: 4 October 2022

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

Full work available at URL: https://arxiv.org/abs/1910.06857

zbMATH Keywords

logarithmic Sobolev inequalityPoincaré inequalityconcentration of measureDunkl operatorsBoltzmann-Gibbs measure

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Applications of functional analysis in statistical physics (46N55)

Related Items (1)

Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups

Cites Work

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