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Statistical properties of a nonuniformly hyperbolic map of the interval (1993)

Lambert, A. ; Siboni, S. ; Vaienti, S.

Springer

Journal of statistical physics 72 (1993), S. 1305-1330

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ISSN: 1572-9613

Keywords: Decay of correlations ; Central Limit Theorem ; symbolic dynamics ; Markov chains

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We prove a power-law upper bound for the decay of the correlations for Hölder observables in the case of a nonuniformly hyperbolic map of the interval introduced by Gaspard and Wang as a piecewise linear approximation of the intermittent map of Manneville-Pomeau. The result is then applied to compute the Central Limit Theorem for the same class of observables.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01048188

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