A. Dzhalilov

activity

20072022

most citedConformal geometry of timelike curves in the (1+2)-Einstein universe

12 citations · 29 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.DS2022★ 3 cited

The thermodynamic formalism and central limit theorem for stochastic perturbations of circle maps with a break

Akhtam Dzhalilov, Dieter Mayer, Abdurahmon Aliyev

Let $T \in C^{2 + ε} (S^{1} ∖ {x_{b}}), ε > 0,$ be an orientation preserving circle homeomorphism with rotation number $ρ_T=[k_{1},k_{2},..,k_{m},1,1,...],…

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.DS2017

On the renormalizations of circle homeomorphisms with several break points

Kleyber Cunha, Akhtam Dzhalilov, Abdumajid Begmatov

Let $f$ be an orientation preserving homeomorphisms on the circle with several break points, that is, its derivative $D f$ has jump discontinuities at these points. We study Rauzy-V…

math.DS2014★ 2 cited

Conjugacies between P-homeomorphisms with several breaks

Akhtam Dzhalilov, Dieter Mayer, Utkir Safarov

Let $f_{i}, i = 1, 2$ be orientation preserving circle homeomorphisms with a finite number of break points, at which the first derivatives $D f_{i}$ have jumps, and with identical irrat…

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_{…

math.DS2011★ 12 cited

On conjugations of circle homeomorphisms with two break points

Habibulla Akhadkulov, Akhtam Dzhalilov, Dieter Mayer

Let $f_{i} \in C^{2 + α} (S^{1} ∖ {a_{i}, b_{i}}), α > 0, i = 1, 2$ be circle homeomorphisms with two break points $a_{i}, b_{i}$ , i.e. discontinuities in the derivative $f_{i}$ , with identical ir…

math.DS2007

Singular measures of circle homeomorphisms with two break points

Akhtam Dzhalilov, Isabelle Liousse, Dieter Mayer

Let $T_{f}$ be a circle homeomorphism with two break points $a_{b}, c_{b}$ and irrational rotation number $ϱ_{f}$ . Suppose that the derivative $D f$ of its lift $f$ is absolute…