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.
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页码：829 / 875
页数：47
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