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Besides topics traditionally found in the Séminaire de Probabilités (Martingale Theory, Stochastic Processes, questions of general interest in Probability Theory), this volume XXXIII presents nine contributions to the study of filtrations up to isomorphism. It also contains three graduate courses: Dynamics of stochastic algorithms, by M. Benaim; Simulated annealing algorithms and Markov chains with rare transitions, by O. Catoni; and Concentration of measure and logarithmic Sobolev inequalities, by M. Ledoux. These up to date courses present the state of the art in three matters of interest to students in theoretical or applied Probability Theory, and to researchers as well.
Content Level »Research
Keywords »Brownian bridge - Brownian filtration - Brownian motion - Markov chain - Martingale - Probability theory - Stochastic processes - Uniform integrability - algorithms - diffusion - filtration - local time - natural filtration - probability - stochastic process