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The Exclusion Process

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

Abstract

The exclusion process differs from the spin systems which are the subject of the previous five chapters in that two (rather than one) coordinates of η1 change at a time. In order to describe this process, let p(x, y) be the transition probabilities for a discrete time Markov chain on the countable set 5:
$$ p(x,y) \geq 0,{\text{ }}and{\text{ }}\sum\limits_y {p(x,y) = 1.} $$

Keywords

Probability Measure Invariant Measure Product Measure Ergodic Theorem 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.

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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

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

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