Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

被引：0

作者：

Bezerra, Jamerson ^{[3
]}

Sanchez, Adriana ^{[1
]}

Tall, El Hadji Yaya ^{[2
]}

机构：

[1] Univ Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica

[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil

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

来源：

NONLINEARITY | 2023年 / 36卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

skew product; quasi-periodic cocycles; random product; Lyapunov exponents; CONTINUITY;

D O I：

10.1088/1361-6544/acd299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the top Lyapunov exponent ?(+)(p) , p = (p(1), . . . ,p(N)) with p(i) > 0 for each i, associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever ?(+)(p) is simple. Moreover if the spectrum at p is simple (all Lyapunov exponents having multiplicity one ) then all Lyapunov exponents depend real analytically on p.

引用

页码：3467 / 3482

页数：16

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