"Renormalization, rigidity and universality" by Saša Kocić
 

Document Type

Lecture

Publication Date

11-11-2019

Abstract

Renormalization is a powerful tool in mathematics, which originated in physics, and has led to a Nobel Prize (Wilson 1982) and several Fields medals (e.g. Avila 2014). It is the main tool to approach problems involving self-similarity, universality, or rigidity, as it classifies systems into classes of systems that share a common property (universality) or are in some sense equivalent (rigidity). I will give an introduction to renormalizaton ideas and introduce some current topics of research in dynamical systems and mathematical physics, involving renormalization. The talk will be accessible to graduate students. In particular, I will not assume any prior knowledge of dynamical systems or mathematical physics.

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