Random Walks in the Quarter Plane

Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics

Autor: Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev

Limbă:

Legare: Copertă tare

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

Expediem în 10-13 zile

551.70 lei

This monograph aims to promote original mathematical methods to determine the invariant measure of t...

Informații despre carte

Autor

Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2017

Pagini

248

EAN

9783319509280

ISBN

3319509284

Enbook ID

15467154

Editura

Springer International Publishing AG

Greutate

5266

Dimensiuni

155 x 235 x 18

Descriere completă

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.

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Random Walks in the Quarter Plane

Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și