Organized by:
Dima Dudko (SBU)
Edson de Faria (University of Sao Paulo)
Kostya Khanin (BIMSA)
Misha Lyubich (SBU)
Marco Martens (SBU)
Since its introduction 50 years ago, the concept of Dynamical Renormalization (originally motivated by Renormalization in Physics) has become a fundamental tool in Dynamical Systems. The Program highlights recent advances of this theme, with a particular focus on the MLC Conjecture (the local connectivity of the Mandelbrot set), a central open problem in contemporary Holomorphic Dynamics. Related and parallel topics include circle and rational higher-degree Dynamics, 2D Dynamics (real and complex, dissipative and conservative), the spectral theory of the Schrödinger operator with almost periodic potential.
Every regular week, from Monday to Thursday, there will be several lectures (4–5 hours) centered around a particular topic. This will usually include a mini-course accompanied by a few related seminar talks. On Fridays, we will run a traditional Dynamics Seminar on any topic, including themes outside the program’s scope. During the sixth week of the program, February 8-12, we will host a Workshop.
Tentative list of topics:
Period-doubling universality and Real 1D Renormalization,
Circle/Rotational Dynamics,
Neutral Renormalization,
Near-Degenerate Regime,
Higher-degree polynomial and rational Complex 1D Dynamics,
Hénon maps, real and complex,
KAM Theory through Renormalization lens,
Connections to Physics
This event will also host a workshop: Half a century of Dynamical Renormalization: February 8 – 12, 2027.