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 Title: SRB measures for certain Markov processes Authors: Bahsoun, WaelGora, Pawel Issue Date: 2011 Publisher: © American Institute of Mathematical Sciences Citation: BAHSOUN, W. and GORA, P., 2011. SRB measures for certain Markov processes. Discrete and Continuous Dynamical Systems. Series A, 30 (1), pp.17-37. 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 \delta_0 and \delta_1. In particular, sufficient conditions for \delta_0 and/or \delta_1 to be, or not to be, SRB measures are given. We apply some of our results to asset market games. Description: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems, Series A following peer review. The definitive publisher-authenticated version, BAHSOUN, W. and GORA, P., 2011. SRB measures for certain Markov processes. Discrete and Continuous Dynamical Systems. Series A, 30 (1), pp.17-37, is available online at: https://doi.org/10.3934/dcds.2011.30.17. Version: Accepted for publication DOI: 10.3934/dcds.2011.30.17 URI: https://dspace.lboro.ac.uk/2134/26314 Publisher Link: https://doi.org/10.3934/dcds.2011.30.17 ISSN: 1078-0947 Appears in Collections: Published Articles (Maths)

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