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.

Speaker: Andy Senger (Harvard University)

Join us as we get moving!As we finalize the final details of the class schedule we would like to start gathering interest and registration for our classes.Registration for the classes is required and if you do not attend the first class without prior notice you will be DROPPED from the class series.One parent is required to attend each class with their child.Taekwondo: Mondays at 4:30 p.m. at Westgate Soccer: Fridays at 5:00 p.m. at Westgate Yoga: Saturdays at 10 a.m. at WestgateThis opportunity is cost-free and open to all MIT community, thanks to financial support from GRCG - Graduate Residential Community Grants and organized by WEC - Westgate Executive Committee | Parents Resource Coordinators.Please note that the spots are limited, so in order to offer this opportunity to as many families possible, sign up to secure an spot for your children.

Speaker: Sandro Franceschi (Télécom SudParis)Title: Degenerate systems of three Brownian particles with asymmetric collisionsAbstract:We consider a degenerate system of three particles which collide asymmetrically. The system is degenerate because the particle in the middle is Brownian and the others are ballistic. We study this system's gap process and focus on its invariant measure. The gap process is an obliquely reflected degenerate Brownian motion in a quadrant. We fully characterise the cases where the Laplace transform of the invariant measure is simple, that is rational, algebraic, differentially finite or differentially algebraic. In all these cases, we determine an explicit formula for the invariant measure in terms of a Theta-like function to which we apply a (sometimes fractional) differential operator.To show our results, we start with a functional equation that characterises the Laplace transform of the invariant measure, derive a finite difference equation, and use Tutte’s invariant approach and some Difference Galois theory.This presentation is based on joint work with T. Ichiba, I. Karatzas, and K. Raschel and an upcoming work with T. Dreyfus and J. Flin.--Note: Back-to-back seminars with different times.​​​​​​​