A Poisson formula for harmonic projections

Vadim A. Kaimanovich; Albert Fisher

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Displaying similar documents to “A Poisson formula for harmonic projections”

On the probabilistic multichain Poisson equation

Onésimo Hernández-Lerma, Jean B. Lasserre (2001)

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This paper introduces necessary and/or sufficient conditions for the existence of solutions (g,h) to the probabilistic multichain Poisson equation (a) g = Pg and (b) g+h-Ph = f, with a given charge f, where P is a Markov kernel (or transition probability function) on a general measurable space. The existence conditions are derived via three different approaches, using (1) canonical pairs, (2) Cesàro averages, and (3) resolvents.

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Pointwise estimates for the Poisson kernel on NA groups by the Ancona method

Ewa Damek (1996)

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Jolanta Kazak (2013)

Annales Polonici Mathematici

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Poisson driven stochastic differential equations on a separable Banach space are examined. Some sufficient conditions are given for the asymptotic stability of a Markov operator P corresponding to the change of distribution from jump to jump. We also give criteria for the continuous dependence of the invariant measure for P on the intensity of the Poisson process.

Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space

E. Nummelin (1978)

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Tadeusz Pytlik (1992)

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