21 citations · 28 across the 4 of their papers we have counts for
5 papers
The interplay between partial specification, average shadowing, and Besicovitch completeness
Melih Emin Can, Marcin Kulczycki
Let be a compact dynamical system. This article proves that if has the partial specification property, then it has the average shadowing property. It is also proven…
Two results on entropy, chaos, and independence in symbolic dynamics
Fryderyk Falniowski, Marcin Kulczycki, Dominik Kwietniak +1
We survey the connections between entropy, chaos, and independence in topological dynamics. We present extensions of two classical results placing the following notions in the cont…
Entropy of subordinate shift spaces
Marcin Kulczycki, Dominik Kwietniak, Jian Li
We introduce a new family of shift spaces --- the subordinate shifts. Using subordinate shifts we prove in an elementary way that for every nonnegative real number there is a s…
On almost specification and average shadowing properties
Marcin Kulczycki, Dominik Kwietniak, Piotr Oprocha
In this paper we study relations between almost specification property, asymptotic average shadowing property and average shadowing property for dynamical systems on compact metric…
A class of continua that are not attractors of any IFS
Marcin Kulczycki, Magdalena Nowak
This paper presents a sufficient condition for a continuum in to be embeddable in in such a way that its image is not an attractor of any iterated function system. An e…