SRB Measures For Certain Markov Processes
Dynamical Systems
2009-12-30 v2 Probability
Abstract
We study Markov processes generated by iterated function systems (IFS). The constituent maps of the IFS are monotonic transformations of the interval. We first obtain an upper bound on the number of SRB (Sinai-Ruelle-Bowen) measures for the IFS. Then, when all the constituent maps have common fixed points at 0 and 1, theorems are given to analyze properties of the ergodic invariant measures and . In particular, sufficient conditions for and/or to be, or not to be, SRB measures are given. We apply some of our results to asset market games.
Cite
@article{arxiv.0907.3372,
title = {SRB Measures For Certain Markov Processes},
author = {Wael Bahsoun and Pawel Gora},
journal= {arXiv preprint arXiv:0907.3372},
year = {2009}
}