Markov Processes with a Large Number of Locally Interacting Components -- The Existence of a Limit Process and Its Ergodicity,

Abstract

Continuous-time Markov processes whose phase space elements comprise a set of a large number of locally interacting components are examined. These components are assumed to be in one-to-one correspondence with the points of a discrete lattice in space. These processes are investigated via a transition to the limit case when the number of components is infinite.

Document Details

Document Type
Technical Report
Publication Date
Mar 05, 1974
Accession Number
AD0781212

Entities

People

  • R. L. Dobrushin

Organizations

  • United States Army Foreign Science and Technology Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Ergodic Processes
  • Markov Processes
  • Mathematics
  • Probability
  • Transitions

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space