Correlation decay and return time statistics

doi:10.1016/S0167-2789(98)00219-X

Physica D: Nonlinear Phenomena

Volume 131, Issues 1–4, 1 July 1999, Pages 68-77

Dedicated to Boris Chirikov, on his 70th birthday

https://doi.org/10.1016/S0167-2789(98)00219-X Get rights and content

Abstract

We address the general problem of possible modes of correlation decay for low-dimensional dynamical systems: in particular we focus on systems lacking full hyperbolicity, where typically power laws occur.

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Correlation decay and return time statistics

Abstract

J.R. Cary, Physica D

Phys. Rep.

Physica D

Chaos, Solitons and Fractals

Ann. N.Y. Acad. Sci.

J. Stat. Phys.

Commun. Math. Phys.

Rev. Mod. Phys.

Erg. Th. Dyn. Sys.

Amer. J. Math.

Russ. Math. Surv.

C.R. Acad. Sci. Paris Ser 1

Commun. Math. Phys.

Monte Carlo methods

J. Stat. Phys.

Phys. Rev. E

J. Stat. Phys.

J. Stat. Phys.

Invent. Math.

J. Differ. Geom.

Commun. Math. Phys.

Decadimento delle correlazioni in sistemi dinamici caotici

Essentials of Padé Approximants

Quantitative Theory of Critical Phenomena

A brief introduction to dynamical zeta functions

Classical and Quantum chaos: a cyclist treatise

Statistical Field Theory

Phys. Rev. Lett.

Phys. Rev. E