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…
Beyond and : A solution to the Barge Entropy Conjecture
Jan P. Boroński, Jernej Činč, Piotr Oprocha
We prove the entropy conjecture of M. Barge from 1989: for every there exists a pseudo-arc homeomorphism , whose topological entropy is . Until now all pseu…
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…
Inhomogeneities in chainable continua
Ana Anušić, Jernej Činč
We study a class of chainable continua which contains, among others, all inverse limit spaces generated by a single interval bonding map which is piecewise monotone and locally eve…
Planar embeddings of chainable continua
Ana Anušić, Henk Bruin, Jernej Činč
We prove that for a chainable continuum and every non-zigzag there exists a planar embedding such that is accessible, partially…