Infinite dimensional SRB measures

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dc.creatorBricmont, J.
dc.creatorKupiainen, A.
dc.date1995-10-02
dc.date.accessioned2026-07-07T09:07:50Z
dc.date.available2026-07-07T09:07:50Z
dc.descriptionWe review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an infinite lattice of weakly coupled expanding circle maps, and we show that this measure has exponential decay of space-time correlations. First, using the Perron-Frobenius operator, one connects the dynamical system of coupled maps on a $d$-dimensional lattice to an equilibrium statistical mechanical model on a lattice of dimension $d+1$. This lattice model is, for weakly coupled maps, in a high-temperature phase, and we use a general, but very elementary, method to prove exponential decay of correlations at high temperatures.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/chao-dyn/9509022
dc.identifierhttp://arxiv.org/abs/chao-dyn/9509022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150508
dc.subjectChaotic Dynamics
dc.titleInfinite dimensional SRB measures
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