Speaker: Matthew Lerner-BrecherTitle: The Fourier-Bessel Series and Hard Edge Limits

Ten minutes for your mind@2:50 every day at 2:50 pm in multiple time zones:Europa@2:50, EET, Athens, Helsinki (UTC+2) (7:50 am EST) https://us02web.zoom.us/j/88298032734Atlantica@2:50, EST, New York, Toronto (UTC-4) https://us02web.zoom.us/j/85349851047Pacifica@2:50, PST, Los Angeles, Vancouver (UTC=7) (5:50 pm EST) https://us02web.zoom.us/j/85743543699Almost everything works better again if you unplug it for a bit, including your mind. Stop by and unplug. Get the benefits of mindfulness without the fuss.@2:50 meets at the same time every single day for ten minutes of quiet together.No pre-requisite, no registration needed.Visit the website to view all @2:50 time zones each day.at250.org or at250.mit.edu

Speaker: Arka Adhikari (University of Maryland)Title: MODERATE DEVIATIONS FOR THE CAPACITY OF THE RANDOM WALK RANGE IN DIMENSION FOURAbstract:We find a natural four dimensional analog of the moderate deviation results for the capacity of the random walk, which corresponds to Bass, Chen and Rosen concerning the volume of the random walk range for d = 2. We find that the deviation statistics of the capacity of the random walk can be related to the following constant of generalized Gagliardo-Nirenberg inequalities, \begin{equation*} \inf_{f: \| abla f\|_{L^2}<\infty} \frac{\|f\|^{1/2}_{L^2} \| abla f\|^{1/2}_{L^2}}{ [\int_{(\mathbb{R}^4)^2} f^2(x) G(x-y) f^2(y) \text{d}x \text{d}y]^{1/4}}. \end{equation*}--Note: Back-to-back seminars with different times.

Speaker: Xinrui ZhaoTitle: Geometry and analysis of Ricci curvature and mean curvature flowsZoom: https://mit.zoom.us/j/4652709439

Directed and Random Walks in Chemical Spacehttps://broad.io/BroadMITSeminarSeries

Xavier Jaravel London School of Economics