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 fr...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.展开更多
基金The second author was supported by National Natural Science Foundation of China(Grant No.11871286).
文摘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.