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math.DS2022
On the local connectivity of attractors of Markov IFS
Nicolae Mihalache
We prove an extension of M. Hata's theorem [4] for planar Markov Iterated Function Systems satisfying a strong version of the Open Set Condition. More precisely, if the attractor o…
math.DS2022
An invitation to rough dynamics: zipper maps
Benoît Kloeckner, Nicolae Mihalache
In the field of dynamical systems, it is not rare to meet irregular functions, which are typically H{ö}lder but not Lipschitz (e.g. the Weierstrass functions). Our goal is to scrat…