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Titlebook: Seminar on Stochastic Processes, 1988; E. Çinlar,K. L. Chung,J. Glover Book 1989 Birkhäuser Boston 1989 Brownian excursion.Brownian motion

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Some Formulas for the Energy Functional of a Markov Process,ess and . an exact multiplicative functional of .. Writing (.) for the corresponding subprocess, let . and .. denote the energy functional of . and (.) respectively. Suppose that . doesn’t vanish on [0,ζ[, and define an additive functional . by ....... Then given an .-excessive measure ξ and an .-ex
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Behaviour of Excessive Functions of Certain Diffusions under the Action of the Transition Semi-Grou transient and with continuous sample paths, has all of its excessive harmonic functions, which are not identically infinite, .. Also, it has been shown that under the same conditions the excessiveness of harmonic functions of the process is .. In this paper we are studying the behaviour of excessiv
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Some Properties of Invariant Functions of Markov Processes, Let P. and U. denote the semigroup and resolvent of X. We suppose X is a Borel right process; in particular, U. f ∈ B. whenever f ∈ B.. We restrict our attention to transient Borel right processes throughout this paper, so there is a strictly positive B-measurable function q so that Uq ≤ 1.
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On a Stability Property of Harmonic Measures,th the property that if ..,n ≥ 1, is any sequence of smooth domains such that . then the classical harmonic measures ..(0,.),. ≥ 1, do not converge weakly to the harmonic measure ..(0,.). Of course, these measures are the exit distributions of Brownian motion starting from the origin.
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978-1-4612-8217-4Birkhäuser Boston 1989
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