3 papers
math.DS2023
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…
math.DS2023
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.
math.DS2022
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…