On Multifractal Rigidity

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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 w...

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Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132020
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132020
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
spellingShingle Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
Mesón, Alejandro Mario
Vericat, Fernando
On Multifractal Rigidity
topic_facet Física
Ingeniería
Multifractal spectrum
Free energy
Gibbs states
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.
format Articulo
Articulo
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title On Multifractal Rigidity
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
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/132020
work_keys_str_mv AT mesonalejandromario onmultifractalrigidity
AT vericatfernando onmultifractalrigidity
bdutipo_str Repositorios
_version_ 1764820455740407808

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