3 citations · 4 across the 6 of their papers we have counts for
7 papers
Simultaneous renormalization of commuting circle diffeomorphisms
Boris Petković
We define a renormalization operator for pairs of commuting orientation preserving circle diffeomorphisms of class . The operator is driven by the accelerated Brun multidimens…
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{…
An exponent- dynamical Borel-Cantelli lemma and the waiting time problem
Dušan Bajović, Boris Petković
Galatolo and Kim proved that the dynamical Borel-Cantelli property for decreasing sequences of balls is tightly connected with the waiting time problem. In systems where all such s…
Classification of some cohomologically -stable continuous group actions on metric spaces
Boris Petković
After Katok, a homeomorphism of a compact metric space is said to be cohomologically -stable if its space of real -coboundaries is closed in . Ko…
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…
On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder
Qinbo Chen, Danijela Damjanović, Boris Petković
Let and be commuting diffeomorphisms of the cylinder that are, respectively, close to $\mathcal{F}_0 (x, y)=(x+ω…
Local Rigidity for Simultaneous Diophantine Translations on Tori of Arbitrary Dimension
Boris Petković
We show that a smooth sufficiently small perturbation of a action on the torus by simultaneously Diophantine translations, is smoothly conjugate to the unperturbed ac…