Seminaire de Probabilites XXXIV [Paperback]

This volume contains 19 contributions to various subjects in the theory of (commutative and non-commutative) stochastic processes. It also provides a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering, by P. del Moral and L. Miclo.Branching and interacting particle systems approximations of feynman-kac formulae with applications to non-linear filtering.- Exponential inequalities for bessel processes.- On sums of iid random variables indexed by N parameters.- Series of iterated quantum stochastic integrals.- p-variation for families of local times on lines.- Large deviations for some poisson random integrals.- Formes de Dirichlet sur un Espace de Wiener-Poisson. Application au grossissement de filtration.- Saturations of gambling houses.- Convergence of a gibbs-boltzmann random measure for a typed branching diffusion.- Time dependent subordination and markov processes with jumps.- Marked excursions and random trees.- Laws of the iterated logarithm for the Brownian snake.- On the Onsager-Machlup functional for elliptic diffusion processes.- A unified approach to several inequalities for gaussian and diffusion measures.- Trous spectraux pour certains algorithmes de M?tropolis sur ?.- Comportement asymptotique des fonctions harmoniques sur les arbres.- Asymptotic estimates for the first hitting time of fluctuating additive functionals of Brownian motion.- Monotonicity property for a class of semilinear partial differential equations.- Fast sets and points for fractional Brownian motion.- Some invariance properties (of the laws) of Ocones martingales.Besides articles, this volume contains a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filteringSpringer Book Archives