Zeros of dynamical zeta functions for hyperbolic quadratic maps

DOI10.2140/PAA.2024.6.633MaRDI QIDQ6642523

Yuqiu Fu

Publication date: 24 November 2024

Published in: Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

Julia setRuelle transfer operatordynamical zeta function

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Complex dynamics
• Spectral gaps without the pressure condition
• Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
• Expanding maps on Cantor sets and analytic continuation of zeta functions
• Growth of the zeta function for a quadratic map and the dimension of the Julia set
• Measures and dimensions in conformal dynamics
• Fractal Uncertainty for Transfer Operators
• Distribution of Resonances for Hyperbolic Surfaces
• Spectral theory of infinite-area hyperbolic surfaces

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