2 citations · 3 across the 9 of their papers we have counts for
9 papers · 1 filter
Cantor subsystems on the Gehman dendrite
Piotr Oprocha, Jakub Tomaszewski
In the present note we focus on dynamics on the Gehman dendrite . It is well-known that the set of its endpoints is homeomorphic to a standard Cantor ternary set. For…
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.
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…
New exotic minimal sets from pseudo-suspensions of Cantor systems
J. P. Boroński, Alex Clark, P. Oprocha
We develop a technique, pseudo-suspension, that applies to invariant sets of homeomorphisms of a class of annulus homeomorphisms we describe, Handel-Anosov-Katok (HAK) homeomorphis…