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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