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.

Review

"Concise and essentially self-contained... A very accessible text...written by a leading expert of the field... It provides a clear and precise presentation of several important aspects of the theory...developed over the recent years. There is no doubt that such a monograph will be used both by beginners to learn the theory and by experts as a reference text."

―Zentralblatt Math.

"About this title" may belong to another edition of this title.

Store Description

Professional Book Seller offering fast shipping and hassle-free returns for every order. Our 100% satisfaction policy guarantees that you get the best product and the best service at the best price!

Visit Seller's Storefront

Seller's business information

Basi6 International LLC
1018 Camino Lago, Irving, TX, 75039, U.S.A.

Sale & Shipping Terms

Terms of Sale

Professional Book Seller shipping from Multiple Locations Worldwide for fastest delivery possible!

Shipping Terms

All orders shipped via FedEx or DHL and delivered to your doorstep within 3-5 days. We do not ship to P.O.Boxes and a proper street address must be provided to avoid any delays.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	5 to 14 business days	3 to 6 business days
First item	US$ 0.00	US$ 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.