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A local invariance principle for Gibbsian fields

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  • Nowak, Emmanuel
  • Thilly, Emmanuel

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.

Suggested Citation

  • Nowak, Emmanuel & Thilly, Emmanuel, 2006. "A local invariance principle for Gibbsian fields," Statistics & Probability Letters, Elsevier, vol. 76(18), pages 1975-1982, December.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:18:p:1975-1982
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    References listed on IDEAS

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    1. Poghosyan, S. & Roelly, S., 1998. "Invariance principle for martingale-difference random fields," Statistics & Probability Letters, Elsevier, vol. 38(3), pages 235-245, June.
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