J. Bobok

activity

20062026

most citedPeriodic points and shadowing property for generic Lebesgue measure preserving interval maps

3 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019

A Besicovitch-Morse function preserving the Lebesgue measure

Jozef Bobok, Serge Troubetzkoy

We continue the investigation of which non-dierentiable maps can occur in the framework of ergodic theory started in [2]. We construct a Besicovitch-Morse function map which preser…

math.DS2019

Typical properties of interval maps preserving the Lebesgue measure

Jozef Bobok, Serge Troubetzkoy

Let us denote $λ$ the Lebesgue measure on $[0, 1]$ , put $C (λ) = {f \in C ([0, 1]); \forall A \subset [0, 1], A Borel : λ (A) = λ (f^{- 1} (A))} .$ We endow the set $C (λ)$ by the unifo…