東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Random walks in the quarter plane = ...

Fayolle, Guy.

FindBook

Google Book

Amazon

博客來

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Random walks in the quarter plane/ by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev.
其他題名:	algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics /
作者:	Fayolle, Guy.
其他作者:	Iasnogorodski, Roudolf.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvii, 248 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Random walks (Mathematics) -
電子資源:	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.40..

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:

532102
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:02711nmm a2200349 a 4500 001 2090434
003 DE-He213
005 20170828172313.0
006 m d
007 cr nn 008maaau
008 171013s2017 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 3221974
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 : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
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 532102
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 1005896
650 2 4 $a Probability and Statistics in Computer Science. $3 891072
650 2 4 $a Difference and Functional Equations. $3 897290
700 1 $a Iasnogorodski, Roudolf. $3 3221975
700 1 $a Malyshev, Vadim. $3 3221976
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Probability theory and stochastic modelling ; $v v.40. $3 3221977
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-50930-3
950 $a Mathematics and Statistics (Springer-11649)