國立虎尾科技大學 |

Random walks in the quarter plane = algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Random walks in the quarter plane/ by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev.
Reminder of title:	algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /
Author:	Fayolle, Guy.
other author:	Iasnogorodski, Roudolf.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xvii, 248 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Random walks (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-50930-3
ISBN:	9783319509303

Random walks in the quarter plane = algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /
Fayolle, Guy.

Random walks in the quarter planealgebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /[electronic resource] :by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev. - 2nd ed. - Cham :Springer International Publishing :2017. - xvii, 248 p. :ill., digital ;24 cm. - Probability theory and stochastic modelling,v.402199-3130 ;. - Probability theory and stochastic modelling ;v.72..

Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled Processor Model. - References.

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.

ISBN: 9783319509303

Standard No.: 10.1007/978-3-319-50930-3doiSubjects--Topical Terms:

783164
Random walks (Mathematics)

LC Class. No.: QA274.73

Dewey Class. No.: 519.282

Random walks in the quarter plane = algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /
LDR:02711nam a2200349 a 4500 001 959125
003 DE-He213
005 20170828172313.0
006 m d
007 cr nn 008maaau
008 201118s2017 gw s 0 eng d
020 $a 9783319509303 $q (electronic bk.)
020 $a 9783319509280 $q (paper)
024 7 $a 10.1007/978-3-319-50930-3 $2 doi
035 $a 978-3-319-50930-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.73
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.282 $2 23
090 $a QA274.73 $b .F285 2017
100 1 $a Fayolle, Guy. $3 1251637
245 1 0 $a Random walks in the quarter plane $h [electronic resource] : $b algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics / $c by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev.
250 $a 2nd ed.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xvii, 248 p. : $b ill., digital ; $c 24 cm.
490 1 $a Probability theory and stochastic modelling, $x 2199-3130 ; $v v.40
505 0 $a Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled Processor Model. - References.
520 $a 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.
650 0 $a Random walks (Mathematics) $3 783164
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 782247
650 2 4 $a Probability and Statistics in Computer Science. $3 669886
650 2 4 $a Difference and Functional Equations. $3 672077
700 1 $a Iasnogorodski, Roudolf. $3 1251638
700 1 $a Malyshev, Vadim. $3 1251639
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Probability theory and stochastic modelling ; $v v.72. $3 1064457
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-50930-3
950 $a Mathematics and Statistics (Springer-11649)