Nielsen zeta functions for maps on infra-nilmanifolds are rational
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Publication:499958
DOI10.1007/s11784-014-0165-4zbMath1329.55002arXiv1302.5512OpenAlexW2013161887MaRDI QIDQ499958
Karel Dekimpe, Gert-Jan Dugardein
Publication date: 7 October 2015
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5512
Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)
Related Items (7)
Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational ⋮ Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions ⋮ Dynamical zeta functions of Reidemeister type and representations spaces ⋮ Dynamical zeta functions of Reidemeister type ⋮ The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\) ⋮ HOMOTOPY MINIMAL PERIODS FOR HYPERBOLIC MAPS ON INFRA-NILMANIFOLDS
Cites Work
- The Anosov theorem for infra-nilmanifolds with a 2-perfect holonomy group
- The Anosov theorem for flat generalized Hantzsche-Wendt manifolds
- The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds
- Asymptotics of the discrete spectrum for certain operators in \({\mathbb{R}}^ d\)
- Maps on infra-nilmanifolds. Rigidity and applications to fixed-point theory
- The Anosov theorem for exponential solvmanifolds
- Anosov theorem for coincidences on special solvmanifolds of type $(\mathrm {R})$
- The Nielsen numbers of maps of nil-manifolds
- Differentiable dynamical systems
- Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)
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