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Titlebook: In Memoriam Marc Yor - Séminaire de Probabilités XLVII; Catherine Donati-Martin,Antoine Lejay,Alain Rouaul Book 2015 Springer Internationa

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书目名称In Memoriam Marc Yor - Séminaire de Probabilités XLVII
编辑Catherine Donati-Martin,Antoine Lejay,Alain Rouaul
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概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: In Memoriam Marc Yor - Séminaire de Probabilités XLVII;  Catherine Donati-Martin,Antoine Lejay,Alain Rouaul Book 2015 Springer Internationa
描述.This volume is dedicated to the memory of Marc Yor, who passed away in 2014. The invited contributions by his collaborators and former students bear testament to the value and diversity of his work and of his research focus, which covered broad areas of probability theory. The volume also provides personal recollections about him, and an article on his essential role concerning the Doeblin documents..With contributions by P. Salminen, J-Y. Yen & M. Yor; J. Warren; T. Funaki; J. Pitman& W. Tang; J-F. Le Gall; L. Alili, P. Graczyk & T. Zak; K. Yano & Y. Yano; D. Bakry & O. Zribi; A. Aksamit, T. Choulli & M. Jeanblanc; J. Pitman; J. Obloj, P. Spoida & N. Touzi; P. Biane; J. Najnudel; P. Fitzsimmons, Y. Le Jan & J. Rosen; L.C.G. Rogers & M. Duembgen; E. Azmoodeh, G. Peccati & G. Poly, timP-L Méliot, A. Nikeghbali; P. Baldi; N. Demni, A. Rouault & M. Zani; N. O‘Connell; N. Ikeda & H. Matsumoto; A. Comtet & Y. Tourigny; P. Bougerol; L. Chaumont; L. Devroye & G. Letac; D. Stroock and M. Emery..
出版日期Book 2015
关键词60GXX,60JXX,60KXX; Brownian motion; Markov chains; Martingales; Stochastic processes
版次1
doihttps://doi.org/10.1007/978-3-319-18585-9
isbn_softcover978-3-319-18584-2
isbn_ebook978-3-319-18585-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2015
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Sticky Particles and Stochastic Flows,of viscosity and molecular diffusivity, pairs of particles exhibit the phenomena of stickiness when they meet. In this paper we characterise the motion of an arbitrary number of particles in a simplified version of their model.
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On Inversions and Doob ,-Transforms of Linear Diffusions,Doob .-transform of the law of ., where . is a positive harmonic function for the infinitesimal generator of . on .. We provide a construction of .. as a deterministic inversion .(.) of ., time changed with some random clock. Such inversions generalize the Euclidean inversions that intervene when .
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On ,-Transforms of One-Dimensional Diffusions Stopped upon Hitting Zero,died. The limit processes are .-transforms of the process stopped upon hitting zero, where .’s are the ground state, the scale function, and the renormalized zero-resolvent. Several properties of the .-transforms are investigated.
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On an Optional Semimartingale Decomposition and the Existence of a Deflator in an Enlarged Filtrati random time or initially with a random variable. In both situations, under suitable conditions, we present a .-optional semimartingale decomposition for .-local martingales. Our study is then applied to the question of how an arbitrage-free semimartingale model is affected when stopped at the rando
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On ,-Finite Measures Related to the Martin Boundary of Recurrent Markov Chains, measure related to penalisations of different stochastic processes, including the Brownian motion in dimension 1 or 2, and a large class of linear diffusions. In the last chapter of the monograph, we define similar measures from recurrent Markov chains satisfying some technical conditions. In the p
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