On Multifractal Rigidity

Autores
Mesón, Alejandro Mario; Vericat, Fernando
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze when a multifractal spectrum can be used to recover the potential. This phenomenon is known as multifractal rigidity. We prove that for a certain class of potentials the multifractal spectrum of local entropies uniquely determines their equilibrium states. This leads to a classification which identifies two systems up to a change of variables.
Facultad de Ciencias Exactas
Instituto de Física de Líquidos y Sistemas Biológicos
Facultad de Ingeniería
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
Materia
Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/132020
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/132020
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling On Multifractal RigidityMesón, Alejandro MarioVericat, FernandoFísicaIngenieríaMultifractal spectrumFree energyGibbs statesWe analyze when a multifractal spectrum can be used to recover the potential. This phenomenon is known as multifractal rigidity. We prove that for a certain class of potentials the multifractal spectrum of local entropies uniquely determines their equilibrium states. This leads to a classification which identifies two systems up to a change of variables.Facultad de Ciencias ExactasInstituto de Física de Líquidos y Sistemas BiológicosFacultad de IngenieríaGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería2011-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf295-320http://sedici.unlp.edu.ar/handle/10915/132020enginfo:eu-repo/semantics/altIdentifier/issn/1385-0172info:eu-repo/semantics/altIdentifier/issn/1572-9656info:eu-repo/semantics/altIdentifier/doi/10.1007/s11040-011-9098-yinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:27Zoai:sedici.unlp.edu.ar:10915/132020Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:28.107SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On Multifractal Rigidity
title On Multifractal Rigidity
spellingShingle On Multifractal Rigidity
Mesón, Alejandro Mario
Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
title_short On Multifractal Rigidity
title_full On Multifractal Rigidity
title_fullStr On Multifractal Rigidity
title_full_unstemmed On Multifractal Rigidity
title_sort On Multifractal Rigidity
dc.creator.none.fl_str_mv Mesón, Alejandro Mario
Vericat, Fernando
author Mesón, Alejandro Mario
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
topic Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
dc.description.none.fl_txt_mv We analyze when a multifractal spectrum can be used to recover the potential. This phenomenon is known as multifractal rigidity. We prove that for a certain class of potentials the multifractal spectrum of local entropies uniquely determines their equilibrium states. This leads to a classification which identifies two systems up to a change of variables.
Facultad de Ciencias Exactas
Instituto de Física de Líquidos y Sistemas Biológicos
Facultad de Ingeniería
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
description We analyze when a multifractal spectrum can be used to recover the potential. This phenomenon is known as multifractal rigidity. We prove that for a certain class of potentials the multifractal spectrum of local entropies uniquely determines their equilibrium states. This leads to a classification which identifies two systems up to a change of variables.
publishDate 2011
dc.date.none.fl_str_mv 2011-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/132020
url http://sedici.unlp.edu.ar/handle/10915/132020
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1385-0172
info:eu-repo/semantics/altIdentifier/issn/1572-9656
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11040-011-9098-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
295-320
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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