Markov's Inequality and C Functions on Sets with Polynomial Cusps.
W. Pawlucki, W. Plesniak (1986)
Mathematische Annalen
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W. Pawlucki, W. Plesniak (1986)
Mathematische Annalen
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Antoni Leon Dawidowicz, Andrzej Turski (1988)
Annales Polonici Mathematici
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Michael Röckner (1983)
Mathematische Annalen
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P.J. Fitzsimmons, R.K. Getoor (1988)
Mathematische Annalen
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Bartosz Frej (2002)
Colloquium Mathematicae
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On a compact metric space X one defines a transition system to be a lower semicontinuous map . It is known that every Markov operator on C(X) induces a transition system on X and that commuting of Markov operators implies commuting of the induced transition systems. We show that even in finite spaces a pair of commuting transition systems may not be induced by commuting Markov operators. The existence of trajectories for a pair of transition systems or Markov operators is also investigated. ...
Zbyněk Šidák (1976)
Aplikace matematiky
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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 (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.
Pascal Lezaud (2010)
ESAIM: Probability and Statistics
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In this paper, we develop bounds on the distribution function of the empirical mean for general ergodic Markov processes having a spectral gap. Our approach is based on the perturbation theory for linear operators, following the technique introduced by Gillman.