Dynamical zeta functions and kneading determinants: A linear algebra point of view

DOI10.1016/j.laa.2006.03.035zbMath1104.37016OpenAlexW1966788878MaRDI QIDQ855584

J. L. Fachada, J. F. Alves, José Sousa Ramos

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.035

zbMATH Keywords

periodic orbitsinterval mapzeta functionskneading determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Matrices, determinants in number theory (11C20)

Related Items (3)

Population dynamics with infinite Leslie matrices: finite time properties ⋮ Periodic paths on nonautonomous graphs ⋮ Kneading determinants of infinite order linear recurrences

Cites Work

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• Fredholm determinant for piecewise linear transformations
• Kneading theory: a functorial approach
• On periodic points
• Kneading theory for tree maps
• An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps
• Topological entropy, homological growth and zeta functions on graphs
• Dynamical zeta functions for tree maps
• Axiom A Diffeomorphisms have Rational Zeta Functions
• Kneading determinants and spectra of transfer operators in higher dimensions: the isotropic case

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