Lectures on Probability Theory

Biane, Philippe.

Lectures on Probability Theory Ecole d'Eté de Probabilités de Saint-Flour XXIII—1993 / [electronic resource] : by Philippe Biane, Richard Durrett ; edited by Pierre Bernard. - VIII, 220 p. online resource. - Lecture Notes in Mathematics, 1608 0075-8434 ; . - Lecture Notes in Mathematics, 1608 .

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.

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.

9783540494027

10.1007/BFb0095745 doi


Distribution (Probability theory.
Quantum theory.
Probability Theory and Stochastic Processes.
Quantum Information Technology, Spintronics.
Quantum Physics.

QA273.A1-274.9 QA274-274.9

519.2
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