可数Amenable群作用的可测势函数的拓扑压  

Topological Pressure for Measurable Potentials of Amenable Group Actions

作　　者：赵操 季泳 王威 ZHAO Cao;JI Yong;WANG Wei(School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou Jiangsu 215009;Department of Mathematics,Ningbo University,Ningbo Zhejiang 315211;School of Basic Teaching,Nantong Institute of Technology,Nantongjiangsu 226002,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009 [2]宁波大学数学与统计学院,浙江宁波315211 [3]南通理工学院基础教学学院,江苏南通226002

出　　处：《重庆师范大学学报（自然科学版）》2021年第6期77-80,共4页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.11971236);南通理工学院中青年骨干教师(No.ZQNGGJS202135)。

摘　　要：【目的】在Amenable群作用下,给出相应的质量分布原理。【方法】综合运用了拓扑学、遍历论与几何测度论的方法。【结果】对任何可测势函数,引入了拓扑压、测度意义压的定义,并证明了相应了质量分布原理。【结论】对于可测势函数,存在相应的质量分布原理。[Purposes]To give the corresponding mass distribution principle under the action of amenable group.[Methods]The methods of topology,ergodic theory and geometric measure theory were used comprehensively.[Findings]For any measurable potential function,the definitions of topological pressure and measure meaning pressure are introduced,and the corresponding mass distribution principle is proved.[Conclusions]For the measurable potential function,there is a corresponding mass distribution principle.

关 键 词：可测势函数 变分原理 Amenable群作用 

分 类 号：O189[理学—数学]