Towards a Pólya-Carlson dichotomy for algebraic dynamics

DOI10.1016/j.indag.2014.04.005zbMath1319.37012arXiv1307.2369OpenAlexW2033484661WikidataQ59899164 ScholiaQ59899164MaRDI QIDQ2252938

Richard B. Miles, Jason P. Bell, Thomas B. Ward

Publication date: 24 July 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2369

zbMATH Keywords

natural boundarydynamical zeta functiongroup automorphism

Mathematics Subject Classification ID

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

Related Items (13)

Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem ⋮ Power series with coefficients from a finite set ⋮ Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions ⋮ Rank-two solenoidal endomorphisms ⋮ A general criterion for the Pólya-Carlson dichotomy and application ⋮ Dynamical zeta functions of Reidemeister type and representations spaces ⋮ Dynamically affine maps in positive characteristic ⋮ Integer sequences and dynamics ⋮ Dynamical zeta functions of Reidemeister type ⋮ The dynamical zeta function for commuting automorphisms of zero-dimensional groups ⋮ A dynamical zeta function for group actions ⋮ Dynamics on abelian varieties in positive characteristic ⋮ Dold sequences, periodic points, and dynamics

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