Stochastically stable globally coupled maps with bistable thermodynamic limit

(To verify condition (II) and (III) we possibly have to divide [0, ε] into smaller intervals.) Knowing that conditions (II) and (III) hold for a one-parameter family, we can

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We prove a local limit theorem for Lipschitz continuous observ- ables on a weakly coupled lattice of piecewise expanding interval maps.. The core of the paper is a proof that

Let us first assume that the time resolution used in the time series of the observable under consideration is su ffi ciently fine, so that one remains far away from the maximal

For a certain class of coupled maps (Theorem 2.1) indeed such a natural measure exists and furthermore, the measure exhibits exponential decay of time correlations for a suitable

It is well known that if X is a compact Hausdorff space, then each multiplicative identity-preserving functional from the space C(X;K) to K is a projection map

From the point of view of multifractal analysis, one considers the size (Hausdorff dimension) of the level sets of the limit of the Birkhoff averages.. The first example we know where

The goal of this note is threefold: first, to give further concrete examples of so- called topologically coarse expanding conformal and metrically coarse expanding conformal