AN EXAMPLE OF A TRANSIENT SET WHICH HAS THE PROPERTY THAT THE EXPECTED NUMBER OF VISITS IS INFINITE,

Abstract

The theory of random walks is of basic importance in many problems of pure and applied probability. The present study gives a small but crucial result relating random walks to potential theory. An example is presented of a transient set having the property that the expected number of visits is infinite.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0424632

Entities

People

  • Richard S. Bucy

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Mathematics
  • Potential Theory
  • Probability
  • Random Walk

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.