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Zbl 1081.37501
Ordóñez, Gonzalo E.; Driebe, Dean J.
Spectral decomposition of tent maps using symmetry considerations. (English)
[J] J. Stat. Phys. 84, No. 1-2, 269-276 (1996). ISSN 0022-4715; ISSN 1572-9613/e

Summary: The spectral decomposition of the Frobenius-Perron operator of maps composed of many tents is determined from symmetry considerations. The eigenstates involve Euler as well as Bernoulli polynomials.
MSC 2000:
*37A30 Ergodic theorems, spectral theory, Markov operators
37C25 Fixed points, periodic points, fixed-point index theory
37C30 Functional analytic techniques in dynamical systems

Keywords: Frobenius-Perron operator; generalized spectral decomposition; chaotic maps; symmetry; tent maps

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