Large coupling asymptotics for the entropy of quasi-periodic operators  

作　　者：Lingrui Ge Jiangong You 

机构地区：[1]Department of Mathematics,University of California at Irvine,Irvine,CA 92612,USA [2]Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,China

出　　处：《Science China Mathematics》2020年第9期1745-1756,共12页中国科学：数学（英文版）

基　　金：The second author was supported by National Natural Science Foundation of China(Grant No.11871286).

摘　　要：In this paper,we give an asymptotic estimate for the entropy,i.e.,the sum of all positive Lyapunov exponents,of the quasi-periodic nite-range operator with a large trigonometric polynomial potential and Diophantine frequency.

关 键 词：large coupling asymptotics ENTROPY quasi-periodic operator quantitative almost reducibility 

分 类 号：O177[理学—数学]