The Lyapunov spectrum as the Newton method

For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton–Raphson method applied to the derivative of the pressure function.

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Year of publication:	2012
Authors:	Iommi, Godofredo
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 9, p. 2848-2852
Publisher:	Elsevier
Subject:	Lyapunov spectrum \| Newton–Raphson method \| Thermodynamic formalism

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010589928