Dold sequences, periodic points, and dynamics
arXiv:2007.04031 · doi:10.1112/blms.12531
Abstract
In this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
38 pages; survey
References in corpus (7)
- Orbit-counting for nilpotent group shifts
- Geometry of Reidemeister classes and twisted Burnside theorem
- Functorial orbit counting
- Orbit counting with an isometric direction
- Realizability of integer sequences as differences of fixed point count sequences
- Stirling number and periodic points
- Fibonacci along even powers is (almost) realizable
Cited by in corpus (4)
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- Homological data on the periodic structure of self-maps on wedge sums
- Every finite set of natural numbers is realizable as algebraic periods of a Morse$\unicode{x2013}$Smale diffeomorphism
- Generating all time-changes preserving dynamical zeta functions