Displaying similar documents to “Remarks on the convergence of measurable sets and measurable functions”

On the extension of measures.

Baltasar Rodríguez-Salinas (2001)

RACSAM

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We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σ, μ) of spaces of probability to have a measure μ which is an extension of all the measures μ. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.

The rate of convergence for iterated function systems

Maciej Ślęczka (2011)

Studia Mathematica

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Iterated function systems with place-dependent probabilities are considered. It is shown that the rate of convergence of transition probabilities to a unique invariant measure is geometric.