4 papers
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…
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.
The topological entropy of Banach spaces
Jozef Bobok, Henk Bruin
We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of whi…
Topological entropy of m-fold maps on trees
Jozef Bobok, Zbigniew Nitecki
We establish the analogue for maps on trees of the result established in two papers by the first author for interval maps, that a continuous self- map for which all but countably m…