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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todo:paper_0129055X_v28_n10_p_Fernandez2023-10-03T14:58:05Z Stability of gas measures under perturbations and discretizations Fernández, R. Groisman, P. Saglietti, S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Fernández, R. Groisman, P. Saglietti, S. 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. |
| format |
JOUR |
| author |
Fernández, R. Groisman, P. Saglietti, S. |
| author_facet |
Fernández, R. Groisman, P. Saglietti, S. |
| author_sort |
Fernández, R. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0129055X_v28_n10_p_Fernandez |
| work_keys_str_mv |
AT fernandezr stabilityofgasmeasuresunderperturbationsanddiscretizations AT groismanp stabilityofgasmeasuresunderperturbationsanddiscretizations AT sagliettis stabilityofgasmeasuresunderperturbationsanddiscretizations |
| _version_ |
1807324531949305856 |