Accessible points rotate as prime ends in backward or forward time

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2016Publisher:Oxford University Press (OUP)Journal:J. Lond. Math. Soc., volume 99, pages 1-30

Authors: Luis Hernández-Corbato;

doi: 10.48550/arxiv.1612.07402

arXiv: 1612.07402

handle: 10261/200292

Accessible points rotate as prime ends in backward or forward time

- Summary
- Subjects
- Metrics

Abstract

Let $X$ be a closed invariant subset of the half--open annulus $\mathbb{A}$ such that $\mathbb{A} \setminus X$ is homeomorphic to $\mathbb{A}$. We prove that either the rotation number of all forward semi--orbits of accessible points of $X$ are well--defined and equal to the prime end rotation number or the same is true for all backward semi--orbits of accessible points of $X$.

35 pages, 10 figures. To appear in J. Lond. Math Soc. (2)

Keywords

Rotation numbers and vectors, FOS: Mathematics, Dynamical systems involving maps of the circle, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37E30, 37E45, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces, rotation number, homeomorphism

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average