On the asymptotic behavior of cocycles over flows
Dynamical Systems
2021-04-14 v1
Abstract
In 1968, V.I. Oseledets formulated the question of convergence in the Birkhoff theorem and the multiplicative ergodic theorem for measurable cocycles over flows under the condition of integrability for each individual t. A.M. Stepin and the author established (2016) the convergence along subsets of time of density 1. In this note, we show that moreover the convergence is fulfilled modulo time subsets of finite measure.
Keywords
Cite
@article{arxiv.2104.06334,
title = {On the asymptotic behavior of cocycles over flows},
author = {Maxim E. Lipatov},
journal= {arXiv preprint arXiv:2104.06334},
year = {2021}
}