APS
Speaker: Surajit Pal, IIT Bombay
Host: Debanjana Mitra
Title: Controllability of the Heat Equation and the Reachable Space
Time, day and date: 11:00:00 AM – 12:00:00 PM, Tuesday, September 23
Venue: Ramanujan Hall
Abstract: In this talk, I will prove the null controllability of the heat equation using Carleman estimate for parabolic operator. While the heat equation is null controllable, it is not exactly controllable due to smoothing effect of heat operator. Consequently, we will focus on characterizing the set where the reachable states lie

APS
Speaker: Animesh Sinha, IIT Bombay
Host: Koushik Saha
Title: Concentration Bounds for Random Hermitian Matrices with Independent Half-Rows
Time, day and date: 3:00:00 PM – 4:00:00 PM, Tuesday, September 23
Venue: Ramanujan Hall
Abstract: We shall use a version of McDiarmid’s inequality to derive concentration bounds for both the empirical spectral distribution (ESD) & the resolvent of random Hermitian matrices with independent half-rows. We shall also show how these bounds can possibly help us in showing weak almost sure convergence of a sequence of ESDs to a limiting spectral distribution (LSD).