Linearization and local stability of random dynamical systems
Dynamical Systems
2015-03-17 v2 Probability
Abstract
The paper examines questions of local asymptotic stability of random dynamical systems. Results concerning stochastic dynamics in general metric spaces, as well as in Banach spaces, are obtained. The results pertaining to Banach spaces are based on the linearization of the systems under study. The general theory is motivated (and illustrated in this paper) by applications in mathematical finance.
Cite
@article{arxiv.1004.4862,
title = {Linearization and local stability of random dynamical systems},
author = {Igor V. Evstigneev and Sergey A. Pirogov and Klaus R. Schenk-Hoppé},
journal= {arXiv preprint arXiv:1004.4862},
year = {2015}
}