Physical Mathematics Seminar

Tuesday, September 20, 2022 at 2:30pm to 3:30pm

MIT - Math Department, /Building 2, Room 449

Speaker:  Zachary G. Nicolaou  (University of Washington)

Title:  Data-driven discovery of parameterized pattern-forming dynamics and emergent quantum mechanics


Pattern-forming systems can exhibit a baffling array of complex behaviors as external parameters vary, enabling a variety of useful functions in natural and engineered systems alike. Classical pattern-forming systems can even give rise to effective quantum mechanics, and the question of the universality of this emergent behavior has been underexplored. First-principle derivations such as bifurcation analyses can be carried out in well-characterized model systems, but data-driven methods for more complicated and realistic systems have only recently matured. In this talk, I will describe a novel system identification algorithm to discover parameterized dynamics for systems with adjustable control parameters and demonstrate its ability to extrapolate system behavior beyond the parameter regime of the input data. I will then discuss a potential application to connect phase space quantum mechanics to the coarse-grained kinetics of classical topological defects.


Event Type


Events By Interest


Events By Audience

MIT Community

Events By School

School of Science


Department of Mathematics
Contact Email

Add to my calendar

Recent Activity