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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
Absolute continuity between a Gibbs measure
and its translate
E. Nowak University of Sciences and Technologies
Abstract:
We look for an overestimation of the distance in total variation
between a Gibbs measure on $R^{Z^d}$ and its translate by a vector of this
space. This can be done thanks to a control of the interdependence between
the spins at distinct sites, i.e., prescribing some restrictions for
the associated potential. We can then conclude, for precise cases,
with the
equivalence of the initial measure and its translate.
Keywords:
random fields, distance in total variation, Gibbs measures, equivalence of measures.
Received: 27.07.2000 Revised: 29.08.2002
Citation:
E. Nowak, “Absolute continuity between a Gibbs measure
and its translate”, Teor. Veroyatnost. i Primenen., 49:4 (2004), 816–826; Theory Probab. Appl., 49:4 (2005), 713–724
Linking options:
https://www.mathnet.ru/eng/tvp200https://doi.org/10.4213/tvp200 https://www.mathnet.ru/eng/tvp/v49/i4/p816
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Abstract page: | 274 | Full-text PDF : | 143 | References: | 42 |
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