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182 MEMORIAL DR, Cambridge, MA 02139

https://math.mit.edu/pde-analysis/
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 This Seminar will be held in 2-105.

3-4 pm - Speaker:  Ahmed Bou-Rabee (Courant Institute)

Title:  Unique continuation for discrete elliptic equations

Abstract:  I will prove that a discrete harmonic function which is bounded on a large density of the plane is constant. Based on joint work with William Cooperman and Shirshendu Ganguly.

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4-5 pm - Speaker Aleksandr Logunov (MIT)

Title:  Sign of Laplace eigenfunctions

Abstract:  The functions sin(kx), cos(kx) are positive on half of the circle. This talk will concern a similar phenomenon of quasi-​symmetry for the sign of Laplace eigenfunctions on Riemannian manifolds. We will talk about the distribution of sign and the question of Nazarov, Polterovich and Sodin at which scale quasi-​symmetry holds and at which scale quasi-​symmetry breaks down. Based on a joint work in progress with Fedya Nazarov.

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