Random Walks in the Quarter-Plane: Algebraic Methods, Boundary Value Problems and Applications

Random Walks in the Quarter-Plane: Algebraic Methods, Boundary Value Problems and Applications
ISBN-10
3540650474
ISBN-13
9783540650478
Category
Mathematics
Pages
184
Language
English
Published
1999-05-04
Publisher
Springer Science & Business Media
Authors
Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev

Description

Promoting original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries, the authors use Using Riemann surfaces and boundary value problems to 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.

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