A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps | Zendy

Md. Shafiqul Islam | Zendy; Paweł Góra | Zendy; Abraham Boyarsky | Zendy

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A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps

Author(s) -

Md. Shafiqul Islam,

Paweł Góra,

Abraham Boyarsky

Publication year - 2005

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/jamsa.2005.133

Subject(s) - mathematics , absolute continuity , invariant measure , invariant (physics) , generalization , random compact set , random element , probability measure , discrete mathematics , mathematical analysis , pure mathematics , random variable , statistics , ergodic theory , mathematical physics

A random map is a discrete-time dynamical system in which one of anumber of transformations is randomly selected and applied at eachiteration of the process. In this paper, we study random maps. Themain result provides a necessary and sufficient condition for theexistence of absolutely continuous invariant measure for a randommap with constant probabilities and position-dependent probabilities

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