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Random Walks in the Quarter-Plane

Guy Fayolle · 2017

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About the book

This monograph aims at promoting original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes are of interest in several areas of mathematical research and are encountered in pure probabilistic problems, as well as in applications involving queuing theory. Using Riemann surfaces and boundary value problems, the authors propose completely new approaches to solve functional equations of two complex variables. These methods can also be employed to characterize the transient behavior of random walks in the quarter plane.

Book details

Year
2017
Language
English
Publisher
Springer
Editions
4
Pages
265
ISBN
9783319509280

Data source: Wikidata