Displaying similar documents to “Generic properties of iterated function systems with place dependent probabilities.”

Robust mixing.

Ganapathy, Murali (2007)

Electronic Journal of Probability [electronic only]

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A central limit theorem for processes generated by a family of transformations

Marian Jabłoński

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Let τ n , n ≥ 0 be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let f n , n ≥ 0 be a sequence of elements of L 2 ( Ω , Σ , P ) with E f n = 0 . It is shown that the distribution of ( ∑ i = 0 n f i ∘ τ i ∘ . . . ∘ τ 0 ) ( D ( ∑ i = 0 n f i ∘ τ i ∘ . . . ∘ τ 0 ) ) - 1 tends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.

On the core property of the cylinder functions class in the construction of interacting particle systems

Anja Voss-Böhme (2011)

Kybernetika

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For general interacting particle systems in the sense of Liggett, it is proven that the class of cylinder functions forms a core for the associated Markov generator. It is argued that this result cannot be concluded by straightforwardly generalizing the standard proof technique that is applied when constructing interacting particle systems from their Markov pregenerators.