The Lyapunov spectrum as the Newton method

Details The Lyapunov spectrum as the Newton method The Lyapunov spectrum as the Newton method

2011-10-04

arxiv.org/abs/1110.0842v1

Mathematics

Dynamical Systems

Scientific paper

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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