Spectral decomposition of tent maps using symmetry considerations.

DOI10.1007/BF02179586zbMath1081.37501OpenAlexW2070783952MaRDI QIDQ1593432

Gonzalo E. Ordóñez, Dean J. Driebe

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02179586

zbMATH Keywords

symmetryFrobenius-Perron operatorchaotic mapsgeneralized spectral decompositiontent maps

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Jordan blocks in a one-dimensional Markov map ⋮ Spectral decomposition of the tent map with varying height

Cites Work

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• Using symmetries of the Frobenius-Perron operator to determine spectral decompositions.
• Probabilistic Properties of Deterministic Systems

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