Renormalization, rigidity and universality
Location
Room 101, Hume Hall
Start Date
27-4-2024 11:00 AM
End Date
27-4-2024 12:00 PM
Description
70 years ago, Kolmogorov’s address at the ICM marked the beginning of KAM theory and rigidity theory of dynamical systems. Approximately at the same time, renormalization ideas originated in quantum field theory. They were introduced in dynamical systems about 45 years ago, following the surprising discovery of metric universality. By now, renormalization has become one of the most powerful tools in the asymptotic analysis of dynamical systems. We will discuss the basic conceptual features of the renormalization approach to rigidity and universality problems, and some recent results. (Dr. Saša Kocić is an Associate Professor at the Department of Mathematics, University of Mississippi. His research interests include dynamical systems, specifically in Renormalization, KAM theory, and rigidity theory.)
Relational Format
conference proceeding
Recommended Citation
Kocić, Saša, "Renormalization, rigidity and universality" (2024). AMS-AWM Student Research Symposium. 14.
https://egrove.olemiss.edu/ams_awm_sympo/2024/schedule/14
Renormalization, rigidity and universality
Room 101, Hume Hall
70 years ago, Kolmogorov’s address at the ICM marked the beginning of KAM theory and rigidity theory of dynamical systems. Approximately at the same time, renormalization ideas originated in quantum field theory. They were introduced in dynamical systems about 45 years ago, following the surprising discovery of metric universality. By now, renormalization has become one of the most powerful tools in the asymptotic analysis of dynamical systems. We will discuss the basic conceptual features of the renormalization approach to rigidity and universality problems, and some recent results. (Dr. Saša Kocić is an Associate Professor at the Department of Mathematics, University of Mississippi. His research interests include dynamical systems, specifically in Renormalization, KAM theory, and rigidity theory.)
Comments
presentation