Displaying similar documents to “Optimal transportation for multifractal random measures and applications”

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Paweł Płonka (2016)

Annales Mathematicae Silesianae

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In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].

Bilinear random integrals

Jan Rosiński

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CONTENTSI. Introduction.....................................................................................................................................................................5II. Preliminaries...................................................................................................................................................................7  1. Infinitely divisible probability measures on Banach spaces..........................................................................................7  2....

Invariant measures for position dependent random maps with continuous random parameters

Tomoki Inoue (2012)

Studia Mathematica

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We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.

Hypercontractivity of simple random variables

Paweł Wolff (2007)

Studia Mathematica

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The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.