Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Spatial Branching Processes, Random Snakes And Partial Differential EquationsISBN13:9783764361266ISBN10:3764361263Author:Le Gall, Jean-Francois (Author)Description:In These Lectures, We Give An Account Of Certain Recent Developments Of The Theory Of Spatial Branching Processes These Developments Lead To Several Fas- Cinating Probabilistic Objects, Which Combine Spatial Motion With A Continuous Branching Phenomenon And Are Closely Related To Certain Semilinear Partial Dif- Ferential Equations Our First Objective Is To Give A Short Self-Contained Presentation Of The Measure- Valued Branching Processes Called Superprocesses, Which Have Been Studied Extensively In The Last Twelve Years We Then Want To Specialize To The Important Class Of Superprocesses With Quadratic Branching Mechanism And To Explain How A Concrete And Powerful Representation Of These Processes Can Be Given In Terms Of The Path-Valued Process Called The Brownian Snake To Understand This Representation As Well As To Apply It, One Needs To Derive Some Remarkable Properties Of Branching Trees Embedded In Linear Brownian Motion, Which Are Of Independent Interest A Nice Application Of These Developments Is A Simple Construction Of The Random Measure Called Ise, Which Was Proposed By Aldous As A Tree-Based Model For Random Distribution Of Mass And Seems To Play An Important Role In Asymptotics Of Certain Models Of Statistical Mechanics We Use The Brownian Snake Approach To Investigate Connections Between Super- Processes And Partial Differential Equations These Connections Are Remarkable In The Sense That Almost Every Important Probabilistic Question Corresponds To A Significant Analytic Problem Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:1999-07-01Weight:0.7 lbsDimensions:0.39'' H x 9.45'' L x 6.72'' WNumber of Pages:163Language:English
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Book Title: Spatial Branching Processes, Random Snakes And Partial Diffe...
Item Length: 9.4in
Item Height: 0.4in
Item Width: 6.7in
Author: J. F. Le Gall
Publication Name: Spatial Branching Processes, Random Snakes and Partial Differential Equations
Format: Trade Paperback
Language: English
Publisher: Springer Basel A&G
Publication Year: 1999
Series: Lectures in Mathematics. Eth Zürich Ser.
Type: Textbook
Item Weight: 12.2 Oz
Number of Pages: 163 Pages
