THERMODYNAMIQUE　DES　ENSEMBLES　DE　CANTOR　AUTOSIMILAIRES　（THERMODYNAMICS　OF　SELF－SIMILAR　CANTOR　SETS）

作     者：G. MICHON J. PEYRIERE(University de Bourgogne, URA 755, BP 138, 21004 Dijon, dance.)(University de Paris-Sud, Centre d’Orsayl URA 757, 91405 Orsayt dance.) G. MICHON;J. PEYRIERE(University de Bourgogne, URA 755, BP 138, 21004 Dijon, dance.)(University de Paris-Sud, Centre d’Orsayl URA 757, 91405 Orsayt dance.)

作者机构：Universite de Bourgogne 法国 Universite de Paris-Sud 法国 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1994年第15卷第3期

页      面：253-272页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Cantor set Graph Dimension Thermodynamics Gibbs meajsure,Multifractals. 

摘      要：A class of metric, compact, and totally disconllected spaces, called self-similar Cantor setsis illtroduced. A self-similar structure is defined to be a graph with weighted edges. Theintroduction of ultrametrics and quasi-isometries gives versatility to this construction. Thermodynamical functions as free energy and elltropy are associated with self-similar *** analysis, based on a Large Deviations inequality and Gibbs measures, leads toa fairly general Hausdoffi dimension theorem.