SOME RESULTS ON BUNDLE SYSTEMS FOR A COUNTABLE DISCRETE AMENABLE GROUP ACTION  

作　　者：潘娟 周云华 Juan PAN;Yunhua ZHOU(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing,400067,China;College of Mathematics and Statistics,Chongqing University,Chongqing,401331,China)

机构地区：[1]School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing,400067,China [2]College of Mathematics and Statistics,Chongqing University,Chongqing,401331,China

出　　处：《Acta Mathematica Scientia》2023年第3期1382-1402,共21页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of China(11871120, 12071082);the Natural Science Foundation of Chongqing (cstc2021jcyj-msxm X0299)。

摘　　要：We consider the style number, independence number and entropy for a frame bundle dynamical system. The base system of which is a countable discrete amenable group action on a compact metric space. We obtain the existence of cover measures, an ergodic theorem about mean linear independence and the style number, and a variational principle for style numbers and independence numbers. We also study the relationship between the entropy of base systems and that of their bundle systems.

关 键 词：mean linear independence style number independence number ENTROPY 

分 类 号：O19[理学—数学]