An application of Markov operators in differential and integral equations
Jan Malczak (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Jan Malczak (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Igor Melicherčík (1998)
Mathematica Slovaca
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M. Ślęczka (2004)
Annales Polonici Mathematici
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We study the asymptotic behaviour of solutions of a transport equation. We give some sufficient conditions for the complete mixing property of the Markov semigroup generated by this equation.
Zbyněk Šidák (1976)
Aplikace matematiky
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Joseph Glover (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Tomasz Szarek (1997)
Annales Polonici Mathematici
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We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Laurent Mazliak (2007)
Revue d'histoire des mathématiques
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We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.
Tomasz Szarek (2000)
Studia Mathematica
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A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.