Professor of Mathematics · Turin Polytechnic University in Tashkent
Akhtam Abdurakhmanovich Dzhalilov
Dynamical systems on the circle — renormalization, invariant measures, and the geometry of maps with break points.
Dr.Sci.
Tashkent, 2000
1987
PhD, Moscow State
9×
Int'l fellowships
ICTP
Senior Assoc. 2015–21
Research focus
Circle maps & renormalization
My work centres on the long-time behaviour of orientation-preserving circle homeomorphisms — particularly those with one or several break points, where the first derivative jumps. The questions: when are two such maps smoothly conjugate? What is the structure of their invariant measures? How do renormalizations converge?
- Dynamical Systems & Applications
- Probability & Stochastic Processes
- Chaotic Dynamics
- Statistical Physics
- Mathematical Analysis
- Functional Analysis
- Mathematical Biology
Selected work
Recent publications
No publications yet.
News & activity
Recent
- May 2026Invited talk at the ICTP "Dynamics & Renormalization" workshop, Trieste.
- Mar 2026New preprint on linearization of circle diffeomorphisms with K. Khanin and H. Akhadkulov.
- Feb 2026PhD candidate S. Abduhakimov successfully defended his dissertation.
- Nov 2025Joint Uzbekistan–Italy seminar series resumes at Turin Polytechnic.