The log-Sobolev inequality with quadratic interactions

We assume one-site measures without a boundary e−ϕ(x)dx/Z that satisfies a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, then the associated infinite dimensional Gibbs measure on the lattice always satisfies a log-Sobolev inequality. Furthermore,...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Papageorgiou, I.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v59_n8_p_Papageorgiou
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00222488_v59_n8_p_Papageorgiou
record_format dspace
spelling todo:paper_00222488_v59_n8_p_Papageorgiou2023-10-03T14:29:52Z The log-Sobolev inequality with quadratic interactions Papageorgiou, I. We assume one-site measures without a boundary e−ϕ(x)dx/Z that satisfies a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, then the associated infinite dimensional Gibbs measure on the lattice always satisfies a log-Sobolev inequality. Furthermore, we present examples of measures that satisfy the inequality with a phase that goes beyond convexity at infinity. © 2018 Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v59_n8_p_Papageorgiou
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We assume one-site measures without a boundary e−ϕ(x)dx/Z that satisfies a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, then the associated infinite dimensional Gibbs measure on the lattice always satisfies a log-Sobolev inequality. Furthermore, we present examples of measures that satisfy the inequality with a phase that goes beyond convexity at infinity. © 2018 Author(s).
format JOUR
author Papageorgiou, I.
spellingShingle Papageorgiou, I.
The log-Sobolev inequality with quadratic interactions
author_facet Papageorgiou, I.
author_sort Papageorgiou, I.
title The log-Sobolev inequality with quadratic interactions
title_short The log-Sobolev inequality with quadratic interactions
title_full The log-Sobolev inequality with quadratic interactions
title_fullStr The log-Sobolev inequality with quadratic interactions
title_full_unstemmed The log-Sobolev inequality with quadratic interactions
title_sort log-sobolev inequality with quadratic interactions
url http://hdl.handle.net/20.500.12110/paper_00222488_v59_n8_p_Papageorgiou
work_keys_str_mv AT papageorgioui thelogsobolevinequalitywithquadraticinteractions
AT papageorgioui logsobolevinequalitywithquadraticinteractions
_version_ 1807320445798580224

Ejemplares similares