Random walk a modern introduction

Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at Cornell University and the University of Chicago b...

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Bibliographic Details
Main Authors: Lawler, Gregory F., Limic, Vlada (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2010
Series:Cambridge studies in advanced mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Local central limit theorem
  • Approximation by Brownian motion
  • The Green's function
  • One-dimensional walks
  • Potential theory
  • Dyadic coupling
  • Additional topics on simple random walk
  • Loop measures
  • Intersection probabilities for random walks
  • Loop-erased random walk