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Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
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2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...
Analytical Determination of Fractal Structure in Stochastic Time Series
Fractal Structure Stochastic Time Series
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2010/4/8
Current methods for determining whether a time series exhibits fractal structure (FS) rely on subjective assessments on estimators of the Hurst exponent (H). Here, I introduce the Bayesian Assessment ...
Fractal Weyl law behavior in an open, chaotic Hamiltonian system
chaotic Hamiltonian system Fractal Weyl law
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2010/4/8
We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relat...