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math.DS2026
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…
math.DS2026
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…
math.DS2026
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…