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Beskrivning
This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.
Contents: Philippe Biane: Calcul stochastique non-commutatif: Introduction.- Espaces de probabilité non-commutatifs finis.- Théorie spectrale.- Variables de Gauss et de Poisson et relations de commutation.- Espaces de Fock.- Intégration stochastique non-commutatif.- Applications du calcul stochastique non-commutatif. Commentaires. Réferences.Rick Durrett: Ten Lectures on Particle Systems: Preface.- Overview (two lectures).- Construction, Basic Properties.- Percolation Substructures, Duality.- A Comparison Theorem.- Threshold Models.- Cyclic Models.- Long Range Limits.- Rapid Stirring Limits.- Predator Prey Systems. Appendix. Proofs of the Comparison Results. References.