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Random Walks and Random Environments
Volume 1: Random Walks
Buch von Barry D Hughes
Sprache: Englisch

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Beschreibung
This is the first of two volumes devoted to probability theory in physics, physical chemistry, and engineering, providing an introduction to the problem of the random walk and its applications. In its simplest form, the random walk describes the motion of an idealized drunkard and is a discreet analogy of the diffusion process. A thorough account is given of the theory of random walks on discreet spaces (lattices or networks) and in continuous spaces, including those processed with random waiting time between steps. Applications discussed include dielectric relaxation, charge transport in the xerographic process, turbulent dispersion, diffusion through a medium with traps, laser speckle and the conformations of polymers in dilute solution. Prior knowledge of probability theory would be helpful, but not assumed. An extensive bibliography concludes the book.
This is the first of two volumes devoted to probability theory in physics, physical chemistry, and engineering, providing an introduction to the problem of the random walk and its applications. In its simplest form, the random walk describes the motion of an idealized drunkard and is a discreet analogy of the diffusion process. A thorough account is given of the theory of random walks on discreet spaces (lattices or networks) and in continuous spaces, including those processed with random waiting time between steps. Applications discussed include dielectric relaxation, charge transport in the xerographic process, turbulent dispersion, diffusion through a medium with traps, laser speckle and the conformations of polymers in dilute solution. Prior knowledge of probability theory would be helpful, but not assumed. An extensive bibliography concludes the book.
Inhaltsverzeichnis
  • 1: Introduction

  • 2: Random walks and random flights

  • 3: Random Walks on a Lattice

  • 4: Random walks in the continuum limit

  • 5: Continuous-time random walks

  • 6: Exploration and Trapping

  • 7: The Self-Avoiding Walk

  • Appendices: Special Functions for Random Walk Problems; Mellin Transforms and Asymptotic Expansions; Green Functions for Lattice Walks

Details
Erscheinungsjahr: 1995
Fachbereich: Geisteswissenschaften allgemein
Genre: Importe
Rubrik: Geisteswissenschaften
Medium: Buch
ISBN-13: 9780198537885
ISBN-10: 0198537883
Sprache: Englisch
Einband: Gebunden
Autor: Hughes, Barry D
Hersteller: Clarendon Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 237 x 162 x 52 mm
Von/Mit: Barry D Hughes
Erscheinungsdatum: 18.05.1995
Gewicht: 1,099 kg
Artikel-ID: 131056706
Inhaltsverzeichnis
  • 1: Introduction

  • 2: Random walks and random flights

  • 3: Random Walks on a Lattice

  • 4: Random walks in the continuum limit

  • 5: Continuous-time random walks

  • 6: Exploration and Trapping

  • 7: The Self-Avoiding Walk

  • Appendices: Special Functions for Random Walk Problems; Mellin Transforms and Asymptotic Expansions; Green Functions for Lattice Walks

Details
Erscheinungsjahr: 1995
Fachbereich: Geisteswissenschaften allgemein
Genre: Importe
Rubrik: Geisteswissenschaften
Medium: Buch
ISBN-13: 9780198537885
ISBN-10: 0198537883
Sprache: Englisch
Einband: Gebunden
Autor: Hughes, Barry D
Hersteller: Clarendon Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 237 x 162 x 52 mm
Von/Mit: Barry D Hughes
Erscheinungsdatum: 18.05.1995
Gewicht: 1,099 kg
Artikel-ID: 131056706
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