The Lyapunov spectrum as the Newton method
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ELSEVIER SCIENCE BV
Abstract
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. (C) 2012 Elsevier B.V. All rights reserved.
Description
Keywords
Lyapunov spectrum, Newton-Raphson method, Thermodynamic formalism, CONFORMAL EXPANDING MAPS, MULTIFRACTAL ANALYSIS