The Resource Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource)
Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource)
Resource Information
The item Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This monograph aims to promote original mathematical methods to determine the invariant measure of twodimensional 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 onedimensional Quantum ThreeBody Problem, or to tackle a new class of Integrable Systems. Part II borrows special casestudies 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.
 Language
 eng
 Edition
 2nd ed. 2017.
 Extent
 1 online resource (XVII, 248 pages)
 Contents

 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 TwoCoupled Processor Model.  References
 Isbn
 9783319509303
 Label
 Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
 Title
 Random Walks in the Quarter Plane
 Title remainder
 Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
 Statement of responsibility
 by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev
 Language
 eng
 Summary
 This monograph aims to promote original mathematical methods to determine the invariant measure of twodimensional 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 onedimensional Quantum ThreeBody Problem, or to tackle a new class of Integrable Systems. Part II borrows special casestudies 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Fayolle, Guy
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Iasnogorodski, Roudolf.
 Malyshev, Vadim.
 Series statement

 Springer eBooks
 Probability Theory and Stochastic Modelling,
 Series volume
 40
 http://library.link/vocab/subjectName

 Mathematics
 Mathematical statistics
 Difference equations
 Functional equations
 Probabilities
 Statistics
 Label
 Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 TwoCoupled Processor Model.  References
 Control code
 9783319509303
 Dimensions
 unknown
 Edition
 2nd ed. 2017.
 Extent
 1 online resource (XVII, 248 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319509303
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319509303
 Other physical details
 17 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)971613451
 Label
 Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 TwoCoupled Processor Model.  References
 Control code
 9783319509303
 Dimensions
 unknown
 Edition
 2nd ed. 2017.
 Extent
 1 online resource (XVII, 248 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319509303
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319509303
 Other physical details
 17 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)971613451
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/RandomWalksintheQuarterPlaneAlgebraic/uTaJbzaIrOI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/RandomWalksintheQuarterPlaneAlgebraic/uTaJbzaIrOI/">Random Walks in the Quarter Plane : Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics, by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>