Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions

DOI10.3934/DCDS.2020282zbMath1471.37028arXiv2006.01564OpenAlexW3046121576MaRDI QIDQ2196714

Katsukuni Nakagawa

Publication date: 3 September 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01564

zbMATH Keywords

spectral representationtrace formulatransfer operatorsRuelle zeta functionssuper-continuous functions

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of the theory of Fredholm determinants
• Meromorphic extensions of generalised zeta functions
• Zeta-functions for expanding maps and Anosov flows
• Eigenvalue distribution of compact operators
• Local and global trace formulae for smooth hyperbolic diffeomorphisms
• Estimating the number of eigenvalues of linear operators on Banach spaces
• Meromorphic extension of the zeta function for Axiom A flows
• The zeta functions of Ruelle and Selberg. I
• Ergodic optimization of super-continuous functions on shift spaces

This page was built for publication: Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions