Infinite Systems with Locally Interacting Components

In 1963 Glauber analyzed a one dimensional model for magnetism. It was the first study of the Markovian time evolution of a system with infinitely many interacting components. In Section 1 it will be discussed in the light of recent progress in this field. The remaining Sections (2, 3, and 4) form a...

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Veröffentlicht in:	The Annals of probability 1981-06, Vol.9 (3), p.349-364
1. Verfasser:	Spitzer, Frank
Format:	Artikel
Sprache:	eng
Schlagworte:	60K35 Coordinate systems coupled random walks dual processes Eigenfunctions equilibrium states Ergodic theory Interacting particle systems Markov processes Martingales Particle interactions Random variables Random walk Semigroups The 1979 Wald Memorial Lectures
Online-Zugang:	Volltext
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