Presented By: Department of Mathematics
Analysis/Probability Learning Seminar
Stochastic localization of measures - preliminaries
The stochastic localization technique was first used by Eldan in 2012 to show that the optimal constants (with respect to the dimension) in the thin shell conjecture, and the conjecture by Kannan, Lovasz, and Simonovits (KLS) are equivalent up to logarithmic factors. Since then, it has also found other applications in convex geometry and probability. In particular, Lee and Vempala used it to improve the best known constant in the KLS conjecture.
The technique is based on the use of stochastic differential equations and the Ito calculus. In this talk, I will provide some of the necessary background. Speaker(s): Alon Nishry (University of Michigan)
The technique is based on the use of stochastic differential equations and the Ito calculus. In this talk, I will provide some of the necessary background. Speaker(s): Alon Nishry (University of Michigan)
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