Resonances and time operator for the cusp map

DOI10.1016/S0960-0779(02)00386-7zbMath1032.37021OpenAlexW2011765035MaRDI QIDQ1419353

Ioannis E. Antoniou, Stanislav Shkarin

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00386-7

zbMATH Keywords

Frobenius-Perron operatorcusp mapnatural time operatornontrivial analytic eigenfunctionsspectra of the operator

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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• Spectral decomposition of piecewise linear monotonic maps.
• Relativistic internal time operator
• Intermittency and regularized Fredholm determinants
• The time operator of the cusp map
• Analyticity of smooth eigenfunctions and spectral analysis of the Gauss map
• The exact invariant density for a cusp-shaped return map

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