Some remarks on the random walk on finite groups
Roman Urban (1998)
Colloquium Mathematicae
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Roman Urban (1998)
Colloquium Mathematicae
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Kaim, Sebastian J. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jacek Dziubański (1992)
Colloquium Mathematicae
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Farkas, J.Z. (2001)
Beiträge zur Algebra und Geometrie
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Sergei B. Kuksin (2001)
Journées équations aux dérivées partielles
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For a class of random dynamical systems which describe dissipative nonlinear PDEs perturbed by a bounded random kick-force, I propose a “direct proof” of the uniqueness of the stationary measure and exponential convergence of solutions to this measure, by showing that the transfer-operator, acting in the space of probability measures given the Kantorovich metric, defines a contraction of this space.
Jan Malczak (1992)
Annales Polonici Mathematici
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We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.
L. Ramsey (1996)
Colloquium Mathematicae
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Edmond Granirer (1994)
Colloquium Mathematicae
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Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Tyutyanov, V.N. (2000)
Siberian Mathematical Journal
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