Upper Bound on the Regularity of the Lyapunov Exponent for Random Products of Matrices

被引：2

作者：

Bezerra, Jamerson ^{[1
]}

Duarte, Pedro ^{[2
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Ul Chopina 12-18, PL-87100 Torun, Poland

[2] Univ Lisbon, Fac Ciencias, Campo Grande, P-1749016 Lisbon, Portugal

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 403卷 / 02期

关键词：

METRIC ENTROPY; DENSITY; CONTINUITY; DIMENSION; STATES;

D O I：

10.1007/s00220-023-04815-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that if mu is a finitely supported measure on SL2(R) with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function is not alpha-Holder around mu for any alpha exceeding the Shannon entropy of mu over the Lyapunov exponent of mu.

引用

页码：829 / 875

页数：47