Kneading operators, sharp determinants, and weighted Lefschetz zeta functions in higher dimensions

DOI10.1215/S0012-7094-04-12415-7zbMath1330.37027MaRDI QIDQ1880381

Mathieu Baillif

Publication date: 27 September 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (3)

Anosov flows and dynamical zeta functions ⋮ Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ A dynamical zeta function for pseudo Riemannian foliations

Cites Work

• Generic diffeomorphisms with superexponential growth of number of periodic orbits
• Infinite kneading matrices and weighted zeta functions of interval maps
• A Lefschetz fixed point formula for elliptic complexes. I
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Periodic orbits and dynamical spectra (Survey)
• An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps
• Kneading determinants and spectra of transfer operators in higher dimensions: the isotropic case
• Traces and determinants of linear operators
• Spectrum of the transfer operator in one dimension
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