On Multifractal Rigidity

被引：0

作者：

Alejandro M. Mesón

Fernando Vericat

机构：

[1] CONICET–UNLP,Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB)

[2] UNLP,Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)

来源：

Mathematical Physics, Analysis and Geometry | 2011年 / 14卷

关键词：

Multifractal spectrum; Free energy; Gibbs states; 37C45; 37C30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：295 / 320

页数：25

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