Occupation time large deviations of the voter model

Maury Bramson, J. Theodore Cox, David Griffeath

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


This paper is a sequel to [5] and [6]. We continue our study of occupation time large deviation probabilities for some simple infinite particle systems by analysing the so-called voter model ζt (see e.g., [11] or [8]). In keeping with our previous results, we show that the large deviations are "classical" in high dimensions (d≧5 for ζt) but "fat" in low dimensions (d≦4). Interaction distinguishes the voter model from the independent particle systems of [5] and [6], and consequently exact computations no longer seem feasible. Instead, we derive upper and lower bounds which capture the asymptotic decay rate of the large deviation tails.

Original languageEnglish (US)
Pages (from-to)401-413
Number of pages13
JournalProbability Theory and Related Fields
Issue number3
StatePublished - Mar 1988


Dive into the research topics of 'Occupation time large deviations of the voter model'. Together they form a unique fingerprint.

Cite this