On the uniqueness of Gibbs states in some dynamical systems

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By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical t...

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139382
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-139382
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
spellingShingle Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
Mesón, Alejandro Mario
Vericat, Fernando
On the uniqueness of Gibbs states in some dynamical systems
topic_facet Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
description By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].
format Articulo
Articulo
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title On the uniqueness of Gibbs states in some dynamical systems
title_short On the uniqueness of Gibbs states in some dynamical systems
title_full On the uniqueness of Gibbs states in some dynamical systems
title_fullStr On the uniqueness of Gibbs states in some dynamical systems
title_full_unstemmed On the uniqueness of Gibbs states in some dynamical systems
title_sort on the uniqueness of gibbs states in some dynamical systems
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/139382
work_keys_str_mv AT mesonalejandromario ontheuniquenessofgibbsstatesinsomedynamicalsystems
AT vericatfernando ontheuniquenessofgibbsstatesinsomedynamicalsystems
bdutipo_str Repositorios
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