Wavelet constructions in non-linear dynamics

DOI10.1090/S1079-6762-05-00143-5zbMath1069.42021arXivmath/0501145OpenAlexW1652112004MaRDI QIDQ4681012

Palle E. T. Jorgensen, Dorin Ervin Dutkay

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501145

zbMATH Keywords

waveletJulia setfixed-pointmeasureprojective limitmartingalemultiresolutiontransfer operatorsubshift

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Self-similar stochastic processes (60G18) Fractals (28A80) Martingales and classical analysis (60G46)

Related Items (7)

Markov chains and generalized wavelet multiresolutions ⋮ On the Exel crossed product of topological covering maps ⋮ The measure of a measurement ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations ⋮ On graph algebras from interval maps ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ Orbit representations from matrices

Cites Work

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• Wavelets on fractals
• The thermodynamic formalism for expanding maps
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• Low-pass filters, martingales, and multiresolution analyses
• Invariant sets under iteration of rational functions
• MRA super-wavelets
• The Brownian movement and stochastic equations
• Ten Lectures on Wavelets
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
• What is a Martingale?

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