On the effect of pruning on the singularity structure of zeta functions

DOI10.1063/1.532094zbMath0883.58030arXivchao-dyn/9606004OpenAlexW3099896043MaRDI QIDQ4351647

Per Dahlqvist

Publication date: 28 August 1997

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9606004

zbMATH Keywords

singular pointszerosunimodal mapsdynamical zeta functionstopological zeta functiontent map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (2)

The role of singularities in chaotic spectroscopy ⋮ Accelerating cycle expansions by dynamical conjugacy

Cites Work

• Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
• Zeta functions and transfer operators for piecewise monotone transformations
• Zeta-functions for expanding maps and Anosov flows
• On the bifurcation of maps of the interval
• Infinite kneading matrices and weighted zeta functions of interval maps
• Sharp determinants
• Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions
• On the decay of correlations in Sinai billiards with infinite horizon
• On finite limit sets for transformations on the unit interval
• Recycling of strange sets: I. Cycle expansions
• Periodic Orbits and Kneading Invariants
• An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps
• Approximate zeta functions for the Sinai billiard and related systems

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