works on
borel-cantelli lemma 1C0 coboundaries 1cohomological stability 1diophantine approximation 1exponent-s dynamics 1finite group actions 1group actions 1homeomorphisms 1metric spaces 1orbit approximation 1shrinking target property 1waiting time problem 1

From the 2 of 4 linked papers with an AI index.

collaborators

4 papers

math.DS2026

Topological centralizers of perturbations of ergodic toral automorphisms with two dimensional center

Boris Petković

Let be an ergodic linear automorphism of the torus $\T^N$ whose center space has dimension two. We prove a dichotomy result that for every , where $\mathcal{…

math.DS2026

An exponent- dynamical Borel-Cantelli lemma and the waiting time problem

Dušan Bajović, Boris Petković

The paper extends the relationship between dynamical Borel‑Cantelli properties and waiting‑time estimates to the exponent‑s setting, proving that the s‑monotone shrinking target pr…

math.DS2026

Classification of some cohomologically -stable continuous group actions on metric spaces

Boris Petković

The paper classifies continuous actions of finitely generated groups on compact metric spaces that are cohomologically C⁰‑stable, proving that such stability occurs precisely when…

math.DS2026

Hardy-Rogers and Jungck Type Fixed Point Theorems in Perturbed Metric Spaces, Stability and Data Dependence

Dušan Bajović, Zoran Mitrović, Boris Petković

In this paper we establish Hardy-Rogers and Jungck type fixed point theorems in perturbed metric spaces, where the observed distance is separated from the exact metric by a…