Lyapunov exponents of probability distributions with non-compact support

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awduron: Sánchez Chavarría, Adriana Cristina, Viana, Marcelo
Fformat: artículo preliminar
Dyddiad Cyhoeddi:2020
Disgrifiad:A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact case. We prove that the Lyapunov exponents are semi-continuous with respect to the Wasserstein topology, but not with respect to the weak* topology. Moreover, they are not continuous with respect to the Wasserstein topology.
Gwlad:Kérwá
Sefydliad:Universidad de Costa Rica
Repositorio:Kérwá
Iaith:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85048
Mynediad Ar-lein:https://arxiv.org/abs/1810.03061
https://hdl.handle.net/10669/85048
Allweddair:Lyapunov exponents
Linear cocycles
Wasserstein topology