2 papers
math.DS2021
Rigidity and Flexibility of Polynomial Entropy
Samuel Roth, Zuzana Roth, Ľubomír Snoha
We introduce the notion of a one-way horseshoe and show that the polynomial entropy of an interval map is given by one-way horseshoes of iterates of the map, obtaining in such a wa…
math.DS2018
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…