Multilinear forms in Pareto-like random variables and product random measures
Jan Rosiński, Wojbor A. Woyczyński (1987)
Colloquium Mathematicae
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Jan Rosiński, Wojbor A. Woyczyński (1987)
Colloquium Mathematicae
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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].
Kolumbán, József, Soós, Anna, Varga, Ibolya (2003)
International Journal of Mathematics and Mathematical Sciences
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Jan Rosiński
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CONTENTSI. Introduction.....................................................................................................................................................................5II. Preliminaries...................................................................................................................................................................7 1. Infinitely divisible probability measures on Banach spaces..........................................................................................7 2....
Jacob, Pierre, Oliveira, Paulo Eduardo (1995)
Portugaliae Mathematica
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Tommy Norberg (1989)
Mathematica Scandinavica
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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.
Z. Porosiński (1988)
Applicationes Mathematicae
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R. Kaufman (1970)
Studia Mathematica
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G. Trybuś (1974)
Applicationes Mathematicae
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W. Dziubdziela (1976)
Applicationes Mathematicae
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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.
Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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Kifer, Yuri (1998)
Documenta Mathematica
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S. K. Srinivasan, K. S. S. Iyer (1965)
Applicationes Mathematicae
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Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Berlinkov, A.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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