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
收藏
页码：295 / 320
页数：25
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