3 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic…
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…
Typical properties of interval maps preserving the Lebesgue measure
Jozef Bobok, Serge Troubetzkoy
Let us denote the Lebesgue measure on , put We endow the set by the unifo…
Constant slope, entropy and horseshoes for a map on a tame graph
Adam Bartoš, Jozef Bobok, Pavel Pyrih +2
We study continuous countably (strictly) monotone maps defined on a tame graph, i.e., a special Peano continuum for which the set containing branchpoints and endpoints has a counta…
Topologically weakly mixing polygonal billiards
Jozef Bobok, Serge Troubetzkoy
We show that in a typical polygon the billiard map as well as its associated subshift obtained by coding orbits by the sequence of sides they visit are topologically weakly mixing.