Yan Fyodorov (4.1) Counting equilibria in complex systems via random matrices, part 4.1
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 01/07/2017

Yan Fyodorov, King’s College London, London. Lecture notes available at https://pcmi.ias.edu/sites/pcmi.ias.edu/files/Yan%20Fyodorov%20Lecture%20Notes_0.pdf

How many equilibria will a large complex system, modeled by N randomly coupled autonomous nonlinear differential equations typically have? How many of those equilibria are stable, that is are local attractors of the nearby trajectories? These questions arise in many applications and can be partly answered by employing the methods of Random Matrix Theory. The lectures outline these recent developments.

Lecture presented at the 27th Annual PCMI Summer Session, Random Matrices, held June 25 – July 15, 2017. The residential, three-week Summer Session is the flagship activity of the IAS/Park City Mathematics Institute (PCMI).

The Institute for Advanced Study / IAS / Park City Mathematics Institute (PCMI) is designed for mathematics educators at the secondary and post-secondary level, as well as mathematics researchers and students at the post-secondary level. These groups find at PCMI an intensive mathematical experience geared to their individual needs. Moreover, the interaction among groups with different backgrounds and professional needs increases each participant’s appreciation of the mathematical community as a whole as well as the work of participants in different areas.

For more information, visit https://pcmi.ias.edu