The Lyapunov spectrum as the Newton method
Copyright policy )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.
MULTIFRACTAL ANALYSIS, 09 Industry, 09 Industria, CONFORMAL EXPANDING MAPS, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Lyapunov spectrum, innovación e infraestructura, 510, 620, Newton-Raphson method, Innovation and Infrastructure, 03 Salud y bienestar, Thermodynamic formalism, FOS: Mathematics, 03 Good Health and Well-being, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems
MULTIFRACTAL ANALYSIS, 09 Industry, 09 Industria, CONFORMAL EXPANDING MAPS, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Lyapunov spectrum, innovación e infraestructura, 510, 620, Newton-Raphson method, Innovation and Infrastructure, 03 Salud y bienestar, Thermodynamic formalism, FOS: Mathematics, 03 Good Health and Well-being, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems
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