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Titlebook: Séminaire de Probabilités XLI; Catherine Donati-Martin,Michel Émery,Christophe St Book 2008 Springer-Verlag Berlin Heidelberg 2008 Brownia

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楼主: patch-test
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Hyperbolic random walks,Although the hyperbolic r.w. defined on a regular hyperbolic planar grid satisfies an invariance principle, as we shall see, the picture radically differs from the Euclidean setting: the infinite grid is the whole space when the step is too small. We also give a radial discretization of Bochner’s subordinated hyperbolic Brownian motions.
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Lecture Notes in Mathematicshttp://image.papertrans.cn/t/image/885188.jpg
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https://doi.org/10.1007/978-3-540-77913-1Brownian motion; Càdlàg; Lévy process; Markov additive process; Markov kernel; Martingale; financial proba
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978-3-540-77912-4Springer-Verlag Berlin Heidelberg 2008
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Creation or deletion of a drift on a Brownian trajectory,ive drift can be annihilated by inserting independent excursions again according to a certain Poisson measure. We first give results in discrete time by considering the random walks as contour processes of Galton-Watson trees and then pass to the limit.
发表于 2025-3-26 16:03:33 | 显示全部楼层
A probabilistic interpretation to the symmetries of a discrete heat equation,) using the Doob transform for Markov (jump) processes. While the first three generators of G correspond to the identity and to space and time shifts, we show that in this interpretation the fourth generator of G is associated to time dilations and is linked to a creation operator on the Poisson space.
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