A. Dzhalilov

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math.DS2021

Rigidity for circle diffeomorphisms with breaks satisfying a Zygmund smoothness condition

H. A. Akhadkulov, A. A. Dzhalilov, K. M. Khanin

Let $f$ and $f ~$ be two circle diffeomorphisms with a break point, with the same irrational rotation number of bounded type, the same size of the break $c$ and satisfying a…

math.DS2013

Nonrigidity of piecewise-smooth circle maps

Habibulla Akhadkulov, Akhtam Dzhalilov, Mohd Salmi Md. Noorani

Let $f_{i},$ $i = 1, 2$ be piecewise-smooth $C^{1}$ circle homeomorphisms with two break points, $lo g D f_{i},$ $i = 1, 2$ are absolutely continuous on each continuity intervals of $Df_{…