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 fundamental …

Let $ f\colon 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 …

arxiv:1810.02262v3 [math.DS] 12 Jan 2021 Page 1 ON GENERICITY OF SHADOWING IN
ONE DIMENSION JONATHAN MEDDAUGH Abstract. We show that shadowing is a generic …

We explore five variants of the Ramsey shadowing property. Each variant is a different way
of formalizing the notion that, in a given dynamical system, every sequence of points looks …

Let ΓX denote the family of compact subsets of (X, d). A colouring χ: ΓX→[k] is diametric if
every pair of compact subsets with equal diameters receive the same colour. A free ultrafilter …