Guy Fayolle

(Author)

Random Walks in the Quarter Plane: Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics (2017)Hardcover - 2017, 13 February 2017

Random Walks in the Quarter Plane: Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics (2017)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Probability Theory and Stochastic Modelling
Print Length
248 pages
Language
English
Publisher
Springer
Date Published
13 Feb 2017
ISBN-10
3319509284
ISBN-13
9783319509280

Description

This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as Stochastic Networks, Analytic Combinatorics, and Quantum Physics. This second edition consists of two parts.

Part I is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using Complex Function Theory, Boundary Value Problems, Riemann Surfaces, and Galois Theory, completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the Transient Behavior of the walks, as well as to find explicit solutions to the one-dimensional Quantum Three-Body Problem, or to tackle a new class of Integrable Systems.

Part II borrows special case-studies from queueing theory (in particular, the famous problem of Joining the Shorter of Two Queues) and enumerative combinatorics (Counting, Asymptotics).

Researchers and graduate students should find this book very useful.

Product Details

Authors:
Guy FayolleRoudolf IasnogorodskiVadim Malyshev
Book Edition:
2017
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
13 February 2017
Dimensions:
23.39 x 15.6 x 1.6 cm
ISBN-10:
3319509284
ISBN-13:
9783319509280
Language:
English
Location:
Cham
Pages:
248
Publisher:
Weight:
553.38 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.