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On Multifractal Rigidity

Document type: Articulo

Abstract

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.

General information

Issue date: diciembre 2011
Document language: English
Journal: Mathematical Physics, Analysis and Geometry; vol. 14, no. 4
Origin: 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
ISSN: 1385-0172; 1572-9656
Pages: 295-320
xmlui.dri2xhtml.METS-1.0.item-dc-subject: Multifractal spectrum ; Free energy ; Gibbs states
Subjects: Física ; Ingeniería

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Created: 7 de marzo de 2022
Available since: 7 de marzo de 2022
Please, use one of this identificators(URI) for cite o linking this item:
  • http://sedici.unlp.edu.ar/handle/10915/132020
  • https://doi.org/10.1007/s11040-011-9098-y

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