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SRB measures for certain Markov processes

Title:

SRB measures for certain Markov processes

GÓRA, PAWEŁ and Bahsoun, Wael (2011) SRB measures for certain Markov processes. Discrete and Continuous Dynamical Systems, 30 (1). pp. 17-37. ISSN 1078-0947

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Official URL: http://dx.doi.org/10.3934/dcds.2011.30.17

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.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:GÓRA, PAWEŁ and Bahsoun, Wael
Journal or Publication:Discrete and Continuous Dynamical Systems
Date:2011
Digital Object Identifier (DOI):10.3934/dcds.2011.30.17
Keywords:Iterated Function System, SRB-Measures.
ID Code:976826
Deposited By: DANIELLE DENNIE
Deposited On:29 Jan 2013 14:05
Last Modified:18 Jan 2018 17:43

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