Dynamics of annulus coverings II: periodic points

2014/11/20 by Jorge Iglesias, Aldo Portela, Iglesias, Jorge +5
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1411.5565

Improved version after referee. To appear in Fundamenta Math

arxiv created 2016/02/29 · arxiv updated 2016/03/02

Abstract

Let f be a covering map of the open annulus A= S¹× (0,1) of degree d , |d|>1. Assume that f preserves an essential (i.e not contained in a disk of A) compact subset K. We show that f has at least the same number of periodic points in each period as the map z^d in S¹.

Related

• Action and periodic orbits on annulus
• Existence of Non-Contractible Periodic Orbits for Homeomorphisms of the Open Annulus
• Dynamics of annulus maps III: completeness
• Dynamics of covering maps of the annulus I: semiconjugacies
• On Periodic Points in Covering Systems