On Multifractal Rigidity |
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| Authors: | Alejandro M. Mesón Fernando Vericat |
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| Affiliation: | 1.Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB),CONICET–UNLP,La Plata,Argentina;2.Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI),UNLP,La Plata,Argentina |
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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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