Effective estimates of Lyapunov exponents for random products of positive matrices

Effective estimates of Lyapunov exponents for random products of positive matrices
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正矩阵随机乘积的李亚普诺夫指数的有效估计

DOI:
10.1088/1361-6544/ac15ac
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发表时间:
2021
期刊:
影响因子:
1.7
通讯作者:
Pollicott M
Pollicott M
中科院分区:
数学2区
文献类型:
--
作者:
Pollicott M

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本文给出了利用动态行列式计算正矩阵随机乘积的Lyaponov指数的误差估计。这扩展了(Jurga N和Morris I 2019 Nonlinearity 32 4117-46; Pollicott M 2010 Invent. 181 209-26)中引入的新方法(Jenkinson O and Pollicott M 2018 Adv. Math. 325 87-115; Jenkinson O,Pollicott M and Vytnova P 2018 J. Stat. 170 221-53)。
In this note we describe estimates on the error when calculating the Lyaponov exponent for random products of positive matrices using dynamical determinants. This extends the results in (Jurga N and Morris I 2019 Nonlinearity 32 4117–46; Pollicott M 2010 Invent. Math. 181 209–26) by drawing upon a new approach introduced in (Jenkinson O and Pollicott M 2018 Adv. Math. 325 87–115; Jenkinson O, Pollicott M and Vytnova P 2018 J. Stat. Phys. 170 221–53).
DOI: 10.1007/s10955-017-1930-8
发表时间: 2018-01-01
影响因子: 1.6
作者:
Jenkinson, O.;Pollicott, M.;Vytnova, P.
通讯作者: Vytnova, P.
DOI: 10.1016/j.aim.2017.11.028
发表时间: 2018
影响因子: 1.7
作者:
Jenkinson O
通讯作者: Jenkinson O
关于 Ruelle 特征值序列
DOI: 10.1017/s0143385708000059
发表时间: 2008
影响因子: 0.9
作者:
O. Bandtlow;O. Jenkinson
通讯作者: O. Jenkinson