Advertisement

The Construction, and Other General Results

  • Thomas M. Liggett
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 276)

Abstract

The interacting particle systems which are the subject of this book are continuous-time Markov processes on certain spaces of configurations of particles. These processes are normally specified by giving the infinitesimal rates at which transitions occur. In general there are infinitely many particles in the system, and infinitely many of them make transitions in any interval of time. The transition rates for individual particles can depend on the entire configuration. Consequently, it is not immediately clear whether the specification of the local dynamics determines the evolution of the system as a whole in a unique way. Before proceeding to analyze the infinite system, it is therefore necessary to examine this question of existence and uniqueness of the process.

Keywords

Markov Process Invariant Measure Transition Rate Particle System Exclusion Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Thomas M. Liggett
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

Personalised recommendations