Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes With Emphasis on the Creation-Annihilation Techniques /

• Κύριοι συγγραφείς: Bouleau, Nicolas (Συγγραφέας), Denis, Laurent (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Probability Theory and Stochastic Modelling, 76
• Θέματα: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathema...

Πίνακας περιεχομένων:

• Introduction
• Notations and Basic Analytical Properties
• 1.Reminders on Poisson Random Measures, Lévy Processes and Dirichlet Forms
• 2.Dirichlet Forms and (EID)
• 3.Construction of the Dirichlet Structure on the Upper Space
• 4.The Lent Particle Formula and Related Formulae
• 5.Sobolev Spaces and Distributions on Poisson Space
• 6
• Space-Time Setting and Processes
• 7.Applications to Stochastic Differential Equations driven by a Random Measure
• 8.Affine Processes, Rates Models
• 9.Non Poissonian Cases
• A.Error Structures
• B.The Co-Area Formula
• References.