On the Fredholm determination of a piecewise linear transformation

DOI10.1016/0304-3975(89)90047-9zbMath0684.58036OpenAlexW2002161400MaRDI QIDQ1825496

Makato Mori

Publication date: 1989

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(89)90047-9

zbMATH Keywords

Perron-Frobenius operatorfunctions with bounded variationzeta- function

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Cites Work

• Fredholm determinant for piecewise linear transformations
• On the decay of correlation for piecewise monotonic mappings. I
• On the decay of correlation for piecewise monotonic mappings. II
• Zeta-functions and transfer-operators for piecewise linear transformations.
• Ergodic Transformations from an Interval Into Itself
• Markov Extensions, Zeta Functions, and Fredholm Theory for Piecewise Invertible Dynamical Systems

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