Measure-Valued Branching Markov Processes (Probability and Its Applications)

Li, Zenghu

ISBN 10: 3642266207 / ISBN 13: 9783642266201

Edité par Springer, 2013

In. N° de réf. du vendeur ria9783642266201_new

Synopsis :

Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups.

The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.

Présentation de l'éditeur:

The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein-Uhlenbeck processes based on skew convolution semigroups. The book simplifies the constructions and gives useful perspectives.

Détails bibliographiques

Titre : Measure-Valued Branching Markov Processes (...
Éditeur : Springer
Date d'édition : 2013
Reliure : Couverture souple
Etat : New