The Milnor-Thurston determinant and the Ruelle transfer operator

DOI10.1007/S00220-015-2515-5zbMath1360.37062arXiv1501.00294OpenAlexW2178908412MaRDI QIDQ261599

Hans Henrik Rugh

Publication date: 24 March 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00294

zbMATH Keywords

topological entropyinterval mapkneading theorytransfer operatorMilnor-Thurston determinant

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (3)

Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations

Cites Work

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• Kneading with weights
• Zeta functions and transfer operators for piecewise monotone transformations
• Intermittency and regularized Fredholm determinants
• An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps
• Spectrum of the transfer operator in one dimension

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