Accession Number:

AD0781212

Title:

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

Descriptive Note:

Corporate Author:

ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s):

• Dobrushin,R. L.

Report Date:

1974-03-05

Pagination or Media Count:

33.0

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.

Descriptors:

• *Stochastic processes
• Probability density functions
• Convex sets
• Topology
• Translations
• USSR

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE