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Random Matrix Theory: A bridge between Laplace growth dynamics and determinantal point processes.

Analysis, Dynamics, and Applications Seminar

Random Matrix Theory: A bridge between Laplace growth dynamics and determinantal point processes.
Series: Analysis, Dynamics, and Applications Seminar
Location: MATH 402
Presenter: Nick Ercolani, Department of Mathematics, University of Arizona

Random Matrix Theory arose as an attempt to understand, in a qualitative way, the behavior of large quantum mechanical systems in the setting of randomness and symmetry. Subsequent developments brought into play remarkably effective methods from quantum field theory to analyze the asymptotic behavior of these mechanical systems that in turn led to surprising connections with classical dynamical problems. This talk will present an elementary survey of some of these classical connections in the context of Laplace growth models for simplified interface evolution such as Darcy's law.