Spectral decomposition of piecewise linear monotonic maps.

DOI10.1016/S0960-0779(96)00020-3zbMath1080.37500OpenAlexW2080604361WikidataQ126352866 ScholiaQ126352866MaRDI QIDQ815629

Bi Qiao, Ioannis E. Antoniou

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00020-3

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

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Cites Work

• Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
• An extension of the theory of Fredholm determinants
• Iterates of piecewise monotone mappings on an interval
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Spectral decomposition and fractal eigenvectors for a class of piecewise linear maps
• Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces
• Jordan blocks in a one-dimensional Markov map
• Spectral decomposition of the tent maps and the isomorphism of dynamical systems
• Time-Correlation Functions of One-Dimensional Transformations
• Spectral decomposition of the Renyi map
• Absolute Controllability Condition for Probabilistic Control of Chaos
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