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The Spectrum of the Frobenius–Perron Operator and Its Discretization for Circle Diffeomorphisms

✍ Scribed by Wernt Hotzel; Nicole Lehmkuhl; Bodo Werner

Book ID
110333886
Publisher
Springer US
Year
2002
Tongue
English
Weight
202 KB
Volume
14
Category
Article
ISSN
1040-7294

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📜 SIMILAR VOLUMES

The projection method for a class of Fro
The projection method for a class of Frobenius-Perron operators
✍ J. Ding; A. Zhou 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 210 KB

## Communicated by M. Levi Abstract--We prove the existence of a nontrivial fixed point for a class of Frobenius-Perron operators, and we show that the projection method is convergent for computing such a fixed point.

Non-diagonalizability of the Frobenius-P
Non-diagonalizability of the Frobenius-Perron operator and transition between decay modes of the time autocorrelation function
✍ D. Daems 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 483 KB

We show that for one-dimensional piecewise linear Markov maps the Frobenius-Perron operator evolving probability densities may admit Jordan blocks. Its spectral decomposition is obtained in that case using the formalism of the generalized master equation developed by MacKernan and Nicolis. For mixin