Titlebook: Seminaire de Probabilites XXXV; J. Azéma,M. émery,M. Yor Book 2001 Springer-Verlag Berlin Heidelberg 2001 Brownian motions.Measure.Probabi

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Lecture Notes in Mathematicshttp://image.papertrans.cn/t/image/885335.jpg

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https://doi.org/10.1007/b76885Brownian motions; Measure; Probability; Stochastic Differential Equations; Stochastic Processes; Stochast

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978-3-540-41659-3Springer-Verlag Berlin Heidelberg 2001

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The Principle of Variation for Relativistic Quantum Particles,ween jump Markov processes. After renormalizing the multiplicative functional, the principle of variation of stochastic processes is applied in constructing Schr?dinger processes of pure-jumps which describe the movement of relativistic quantum particles.

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Canonical Lift and Exit Law of the Fundamental Diffusion Associated with a Kleinian Group,by . the eigenfunction of the hyperbolic Laplacian ., associated with its first eigenvalue ., and by . the associated diffussion on ., whose generator is .. We give a simple construction of . through its canonical lift to the frame bundle ., that allows to determine directly its asymptotic behaviour.