21 citations · 26 across the 4 of their papers we have counts for
6 papers
Minimal space with non-minimal square
Ľubomír Snoha, Vladimír Špitalský
We completely solve the problem whether the product of two compact metric spaces admitting minimal maps also admits a minimal map. Recently Boroński, Clark and Oprocha gave a negat…
Recurrence determinism and Li-Yorke chaos for interval maps
Vladimír Špitalský
Recurrence determinism, one of the fundamental characteristics of recurrence quantification analysis, measures predictability of a trajectory of a dynamical system. It is tightly c…
Topological entropy of transitive dendrite maps
Vladimír Špitalský
We show that every dendrite satisfying the condition that no subtree of it contains all free arcs admits a transitive, even exactly Devaney chaotic map with arbitrarily small entro…
Length-expanding Lipschitz maps on totally regular continua
Vladimír Špitalský
The tent map is an elementary example of an interval map possessing many interesting properties, such as dense periodicity, exactness, Lipschitzness and a kind of length-expansiven…
Dynamical consequences of a free interval: minimality, transitivity, mixing and topological entropy
Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský
We study dynamics of continuous maps on compact metrizable spaces containing a free interval (i.e., an open subset homeomorphic to an open interval). A special attention is paid to…
Entropy and exact Devaney chaos on totally regular continua
Vladimír Špitalský
We study topological entropy of exactly Devaney chaotic maps on totally regular continua, i.e. on (topologically) rectifiable curves. After introducing the so-called P-Lipschitz ma…