Theoretical Statistics and Mathematics Unit

Seminar and Colloquium of the week


Title : Stochastic PDEs in S' for SDEs driven by Levy noise
Speaker : Suprio Bhar (TIFR-CAM)
Time : February 19, 2018 (Monday), 03:15 PM
Venue : Auditorium
Abstract : In this talk, we will discuss recent results on the existence and uniqueness of strong solutions of a class of stochastic PDEs driven by finite dimensional L\'evy noise. These stochastic PDEs arise from finite dimensional SDEs driven by the same L\'evy noise and the strong solutions have the `translation invariance' property. Our results extend similar correspondences proved in [Rajeev, \emph{Translation invariant diffusion in the space of tempered distributions}, Indian J. Pure Appl. Math. \textbf{44} (2013), no.~2, 231--258] for diffusion processes. We will focus on the uniqueness results, which follow from a criterion called the 'Monotonicity inequality'. This is joint work with B. Rajeev and Barun Sarkar.


Title : Away from the Average: The Physics of Fluctuations
Speaker : Mustansir Barma (TIFR Centre for Interdisciplinary Sciences - Hyderabad)
Time : February 23, 2018 (Friday), 03:15 PM
Venue : Auditorium
Abstract : Fluctuations often tell more about a statistical system than do the average values of observables. In this lecture, I will highlight the role played by fluctuations in bringing about the remarkable universality observed near the critical points of many systems (fluids, magnets …). Further, one might expect ordering to be destroyed by fluctuations larger than the average. While this statement is almost always true, there are interesting exceptions; such exceptionally interesting systems will also be discussed.

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