Organized by:
Dima Dudko (SBU)
Edson de Faria (University of Sao Paulo)
Kostya Khanin (University of Toronto)
Misha Lyubich (SBU)
Marco Martens (SBU)
The idea of Dynamical Renormalization, motivated by renormalization in QFT and Statistical Mechanics, emerged in the mid-1970s in the work by Feigenbaum, Coullet and Tresser (with first preprints emerging in 1976). It suggests to probe the dynamical and parameter spaces in various scales relating them by a return map and rescaling. This relation is governed by a renormalization transformation of the corresponding space of dynamical systems. If this transformation has good hyperbolicity properties then it leads to universal features of the
corresponding phase-parameter spaces. (For instance, the original Feigenbaum’s discovery was that the sequence of doubling bifurcations converges to the limit at a universal rate, independent of a particular family in question.) Many confirmations (mostly experimental and numerical) of this phenomenon were discovered in the following decade. It followed with a rigorous analysis of the renormalization structure of various classes of systems often based upon deep and beautiful analytic and geometric ideas. We’d like to highlight these developments in the Workshop.
This event will be part of the Program: Dynamical Renormalization and MLC: January 4 – March 5, 2027.