63 citations · 295 across the 47 of their papers we have counts for
53 papers
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…
Parameterized family of annular homeomorphisms with pseudo-circle attractors
Jernej Činč, Piotr Oprocha
In this paper we construct a paramaterized family of annular homeomorphisms with Birkhoff-like rotational attractors that vary continuously with the parameter, are all homeomorphic…
A note on home-product-minimality
J. P. Boroński, Magdalena Foryś-Krawiec, Piotr Oprocha
A compact space is called homeo-product-minimal if given any minimal system , it admits a homeomorphism , such that the product system …
Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: a survey
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We survey the current state-of-the-art about the dynamical behavior of continuous Lebesgue measure-preserving maps on one-dimensional manifolds.
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…