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Math Colloquium: Quantitative Estimates of Propagation of Chaos for Large Systems of Interacting...
Start Date: 1/23/2019Start Time: 3:00 PM
End Date: 1/23/2019End Time: 4:00 PM
Event Description

Pierre-Emmanuel Jabin, University of Maryland

Title: Quantitative Estimates of Propagation of Chaos for Large Systems of Interacting Particles

Abstract: We present a new method to derive quantitative estimates proving the propagation of chaos for large stochastic or deterministic systems of interacting particles. Our approach requires to prove large deviations estimates for non-continuous potentials modified by the limiting law. But it leads to explicit bounds on the relative entropy between the joint law of the particles and the tensorized law at the limit; and it can be applied to very singular kernels that are only in negative Sobolev spaces and include the Biot-Savart law for 2d Navier-Stokes.

Contact Information:
Name: Georgi Medvedev
Email: gsm29@drexel.edu
Location:
Korman Center, Room 245, 15 S 33rd Street, Philadelphia PA, 19104
Audience:
  • Everyone

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