A local invariance principle for Gibbsian fields

Emmanuel Nowak and Emmanuel Thilly

Statistics & Probability Letters, 2006, vol. 76, issue 18, 1975-1982

Abstract: A convergence in total variation to the multi-parameter Wiener process is proved. We use a overestimation of the distance in total variation between a Gibbs measure on and its translate by a vector of this space, to establish a local invariance principle for some Gibbsian random fields.

Keywords: Random; fields; Distance; in; total; variation; Gibbs; measures; Local; invariance; principle (search for similar items in EconPapers)
Date: 2006
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