2 papers
math.DS2026
On Lebesgue measure preserving Besicovitch functions
Jozef Bobok, Jernej ÄinÄ, Piotr Oprocha +1
We consider the space of all continuous interval maps preserving the Lebesgue measure . A continuous function is called Besicovitch if it do…
math.DS2026
Generic continuous Lebesgue measure-preserving interval maps are nowhere monotone but invertible a.e
Jozef Bobok, Jernej ÄinÄ, 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 …