Martin Boundaries of Random Walks on Locally Compact Groups

Abstract

Around 1955, the early studies of excessive functions of a Markov processcentered around two problems: the relations between Brownian motion andNewtonian potential theory, and the behavior of the trajectories of the process(X,) as t approaches limits of + infinity. The latter approach can be traced back to D. Blackwell ([4],1955) who noticed the link between bounded invariant functions and the subsetsof G in which (X,) stays, from some finite time on, with positive probability.

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Document Details

Document Type
Technical Report
Publication Date
Jun 21, 1970
Accession Number
AD1022471

Entities

People

  • Bures-sur Yvette
  • P Cartier
  • R Azencott

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algebra
  • Banach Space
  • Chemical Reactions
  • Differential Equations
  • Equations
  • Lie Groups
  • Markov Chains
  • Markov Processes
  • New York
  • Numbers
  • Potential Theory
  • Probability
  • Random Variables
  • Random Walk
  • Real Numbers
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Mathematical Modeling and Probability Theory.