An Inverse Problem for Gibbs Fields with Hard Core Potential

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dc.creatorKoralov, L.
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:48:34Z
dc.date.available2026-07-07T12:48:34Z
dc.descriptionIt is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points in $\mathbb{R}^d$). In this paper we consider a converse problem. Namely, we show that for a sufficiently small constant $\overlineρ_1$ and a sufficiently small function $\overlineρ_2(x)$, $x \in \mathbb{R}^d$, that is equal to zero in a neighborhood of the origin, there exist a hard core pair potential, and a value of activity, such that $\overlineρ_1$ is the density and $\overlineρ_2$ is the pair correlation function of the corresponding Gibbs field.
dc.identifierhttps://arxiv.org/abs/0903.0433
dc.identifierhttp://arxiv.org/abs/0903.0433
dc.identifierJournal of Mathematical Physics, Vol 48, No 5 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222102
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject60G55, 60G60
dc.titleAn Inverse Problem for Gibbs Fields with Hard Core Potential
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