3 citations · 7 across the 9 of their papers we have counts for
10 papers
Recurrence, symbolic dynamics, and wild attractors for unimodal maps
Lori Alvin, Jernej Činč
In this paper, we construct families of unimodal maps with wild Cantor attractors and study, via symbolic dynamics, the interplay between recurrence properties of the critical orbi…
Dynamics on fences
Jernej Činč, Udayan B. Darji, Benjamin Vejnar
Homeomorphisms of the Cantor set play a central role in topology, dynamical systems and descriptive set theory. In parallel, several classes of fence-like spaces - such as the hair…
On Lebesgue measure preserving Besicovitch functions
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider the space of all continuous interval maps preserving the Lebesgue measure . A continuous function is called Besicovitch if it does…
Generic continuous Lebesgue measure-preserving interval maps are nowhere monotone but invertible a.e
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider continuous maps of the interval which preserve the Lebesgue measure. Except for the identity map or $1 - \id$ all such maps have topological entropy at least …
Interval maps with dense periodicity
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider the class of interval maps with dense set of periodic points CP and its closure Cl(CP) equipped with the metric of uniform convergence. Besides studying basic topologic…
Are generic dynamical properties stable under composition with rotations?
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
In this paper we provide a detailed topological and measure-theoretic study of Lebesgue measure-preserving circle maps that are rotated with inner and outer rotations which are ind…