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Download fileDeterministic representation for position-dependent random maps
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posted on 2017-09-01, 10:27 authored by Wael BahsounWael Bahsoun, Christopher Bose, Anthony QuasWe give a deterministic representation for position dependent random maps and describe the structure of its set of invariant measures. Our construction generalizes the skew product representation of random maps with constant probabilities. In particular, we establish one-to-one correspondence between eigenfunctions corresponding to eigenvalues of unit modulus for the Frobenius-Perron (transfer) operator of the random map and for those of the skew. An immediate consequence is one-to-one correspondence between absolutely continuous invariant measures (acims) for the position dependent random map and acims for its deterministic representation.
History
School
- Science
Department
- Mathematical Sciences
Published in
Discrete and Continuous Dynamical SystemsVolume
22Issue
3Pages
529 - 540Citation
BAHSOUN, W., BOSE, C. and QUAS, A., 2008. Deterministic representation for position-dependent random maps. Discrete and Continuous Dynamical Systems. Series A, 22 (3), pp.529-540.Publisher
© American Institute of Mathematical SciencesVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2008Notes
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., BOSE, C. and QUAS, A., 2008. Deterministic representation for position-dependent random maps. Discrete and Continuous Dynamical Systems. Series A, 22 (3), pp.529-540, is available online at: https://doi.org/10.3934/dcds.2008.22.529.ISSN
1078-0947eISSN
1553-5231Publisher version
Language
- en