J. Boroński

collaborators

3 papers

math.DS2019

On Rigid Minimal Spaces

J. P. Boroński, Jernej Činč, Magdalena Foryś-Krawiec

A compact space $X$ is said to be minimal if there exists a map $f : X \to X$ such that the forward orbit of any point is dense in $X$ . We consider rigid minimal spaces, motivated by…

math.DS2019

Prime Ends Dynamics in Parametrised Families of Rotational Attractors

Jan P. Boroński, Jernej Činč, Xiao-Chuan Liu

We provide several new examples in dynamics on the $2$ -sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families…

math.DS2019

All minimal Cantor systems are slow

J. P. Boroński, J. Kupka, P. Oprocha

We show that every (invertible, or noninvertible) minimal Cantor system embeds in $R$ with vanishing derivative everywhere. We also study relations between local shrinking…