Fractal asymptotics

DOI10.1016/j.physd.2003.09.011zbMath1045.37051arXivnlin/0210067OpenAlexW3037355374MaRDI QIDQ595996

Carl P. Dettmann

Publication date: 10 August 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210067

zbMATH Keywords

Padé approximationBorel summationAsymptotic expansionsChaotic mapCycle expansionsEscape ratesFractalsMapsPeriodic orbitRepellersStochastic perturbations

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Asymptotic expansions for the escape rate of stochastically perturbed unimodal maps

Cites Work

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• Mellin transforms associated with Julia sets and physical applications
• The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
• Trace formula for noisy flows
• Trace formulas for stochastic evolution operators: Weak noise perturbation theory
• Potential theory and analytic properties of self-similar fractal and multifractal distributions
• Trace formulae for stochastic evolution operators: smooth conjugation method
• Potential theory and analytic properties of a Cantor set
• Hyperasymptotics
• On Quadratic Approximation

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