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On Multifractal Rigidity

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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.

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Authors and Affiliations

  1. Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), CONICET–UNLP, La Plata, Argentina

    Alejandro M. Mesón & Fernando Vericat

  2. Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI), UNLP, La Plata, Argentina

    Alejandro M. Mesón & Fernando Vericat

Authors
  1. Alejandro M. Mesón
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  2. Fernando Vericat
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Correspondence to Fernando Vericat.

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Mesón, A.M., Vericat, F. On Multifractal Rigidity. Math Phys Anal Geom 14, 295–320 (2011). https://doi.org/10.1007/s11040-011-9098-y

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  • DOI: https://doi.org/10.1007/s11040-011-9098-y

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