Stability of gas measures under perturbations and discretizations

For a general class of gas models - which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles - we determine a diluteness condition that implies: (1) uniqueness of the infinite-volume equilibrium measure; (2) stability of this measure under perturbations of param...

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Autor principal: Groisman, Pablo Jose
Publicado: 2016
Materias:
discretization
Gibbs measures
perfect simulation
point processes
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0129055X_v28_n10_p_Fernandez
http://hdl.handle.net/20.500.12110/paper_0129055X_v28_n10_p_Fernandez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0129055X_v28_n10_p_Fernandez
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spelling paper:paper_0129055X_v28_n10_p_Fernandez2023-06-08T15:10:53Z Stability of gas measures under perturbations and discretizations Groisman, Pablo Jose discretization Gibbs measures perfect simulation point processes For a general class of gas models - which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles - we determine a diluteness condition that implies: (1) uniqueness of the infinite-volume equilibrium measure; (2) stability of this measure under perturbations of parameters and discretization schemes, and (3) existence of a coupled perfect-simulation scheme for the infinite-volume measure together with its perturbations and discretizations. Some of these results have previously been obtained through methods based on cluster expansions. In contrast, our treatment is purely probabilistic and its diluteness condition is weaker than existing convergence conditions for cluster expansions. © 2016 World Scientific Publishing Company. Fil:Groisman, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0129055X_v28_n10_p_Fernandez http://hdl.handle.net/20.500.12110/paper_0129055X_v28_n10_p_Fernandez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic discretization
Gibbs measures
perfect simulation
point processes
spellingShingle discretization
Gibbs measures
perfect simulation
point processes
Groisman, Pablo Jose
Stability of gas measures under perturbations and discretizations
topic_facet discretization
Gibbs measures
perfect simulation
point processes
description For a general class of gas models - which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles - we determine a diluteness condition that implies: (1) uniqueness of the infinite-volume equilibrium measure; (2) stability of this measure under perturbations of parameters and discretization schemes, and (3) existence of a coupled perfect-simulation scheme for the infinite-volume measure together with its perturbations and discretizations. Some of these results have previously been obtained through methods based on cluster expansions. In contrast, our treatment is purely probabilistic and its diluteness condition is weaker than existing convergence conditions for cluster expansions. © 2016 World Scientific Publishing Company.
author Groisman, Pablo Jose
author_facet Groisman, Pablo Jose
author_sort Groisman, Pablo Jose
title Stability of gas measures under perturbations and discretizations
title_short Stability of gas measures under perturbations and discretizations
title_full Stability of gas measures under perturbations and discretizations
title_fullStr Stability of gas measures under perturbations and discretizations
title_full_unstemmed Stability of gas measures under perturbations and discretizations
title_sort stability of gas measures under perturbations and discretizations
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0129055X_v28_n10_p_Fernandez
http://hdl.handle.net/20.500.12110/paper_0129055X_v28_n10_p_Fernandez
work_keys_str_mv AT groismanpablojose stabilityofgasmeasuresunderperturbationsanddiscretizations
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