rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Random Walks in the Quarter Plane
    sub title: Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
  name:
    name part: Fayolle, Guy.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Iasnogorodski, Roudolf.
    role:
      role term: author.
  name:
    name part: Malyshev, Vadim.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    edition: 2nd ed. 2017.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 248 p. 17 illus. online resource.
  abstract: 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.
  table of 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 Two-Coupled Processor Model. - References.
  note: by Guy Fayolle, Roudolf Iasnogorodski, Vadim Malyshev.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical statistics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Probabilities
  subject:
    topic: Statistics
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
  subject:
    topic: Probability and Statistics in Computer Science
  subject:
    topic: Difference and Functional Equations
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Probability Theory and Stochastic Modelling, 40
  identifier: 9783319509303
  identifier: http://dx.doi.org/10.1007/978-3-319-50930-3
  record info:
    record creation date: 170206
    record change date: 20170206132439.0
    record identifier: 978-3-319-50930-3