J. Meddaugh

activity

20172020

collaborators

5 papers

math.DS2020

A characterization of $ω$ -limit sets in subshifts of Baire space

Jonathan Meddaugh, Brian Raines

In this paper we consider the structure of $ω$ -limit sets in subshifts of Baire space. We consider both subshifts of finite type and subshifts of bounded type and we demonstrate th…

math.DS2020

Expansivity and unique shadowing

Chris Good, Sergio Macías, Jonathan Meddaugh +2

Let $f : X \to X$ be a continuous function on a compact metric space. We show that shadowing is equivalent to backwards shadowing and two-sided shadowing when the map $f$ is ont…

math.DS2019

Shadowing, internal chain transitivity and $α$ -limit sets

Chris Good, Jonathan Meddaugh, Joel Mitchell

Let $f : X \to X$ be a continuous map on a compact metric space $X$ and let $α_{f}$ , $ω_{f}$ and $I C T_{f}$ denote the set of $α$ -limit sets, $ω$ -limit sets and nonempty closed inter…

math.DS2019

Limit Sets and Internal Transitivity in Free Group Actions

Kyle Binder, Jonathan Meddaugh

It has been recently shown that, under appropriate hypotheses, the $ω$ -limit sets of a dynamical system are characterized by internal chain transitivity. In this paper, we examine…

math.DS2017

Shifts of finite type as fundamental objects in the theory of shadowing

Chris Good, Jonathan Meddaugh

Shifts of finite type and the notion of shadowing, or pseudo-orbit tracing, are powerful tools in the study of dynamical systems. In this paper we prove that there is a deep and fu…