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Download filePosition-dependent random maps in one and higher dimensions
A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of Rn. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of Rn are the main results.
Funding
The research of P.G. was supported by NSERC grant. W.B. is a recipient of PIMS postdoctoral fellowship.
History
School
- Science
Department
- Mathematical Sciences
Published in
Studia Math.,Volume
166Pages
. 271 - 286Citation
BAHSOUN, W. and GORA, P., 2005. Position-dependent random maps in one and higher dimensions. Studia Mathematica, 166 (3), pp.271-286.Publisher
Polskiej Akademii Nauk, Instytut MatematycznyVersion
- 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
2005ISSN
0039-3223eISSN
1730-6337Publisher version
Language
- en
