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

Xavier Jaravel (LSE)

When: Almost every Monday (except Holidays) during the semester Time: 4:15pm – 5:45pm Where: Room 14N-417Come by for snacks, and tea with Literature Section friends, instructors, students, etc. What are you reading? What 21L classes are you taking or hoping to take? This event is specifically geared towards undergrads; but open to friends of the community that engage in the literary and humanities at MIT.