collaborators

3 papers

math.DS2026

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 …

math.DS2025

Short-range and long-range order: a transition in block-gluing behavior in Hom shifts

Silvere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha

Hom shifts form a class of multidimensional shifts of finite type (SFT) and consist of colorings of the grid Z2 where adjacent colours must be neighbors in a fixed finite undirecte…

math.DS2025

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…