Date and Time: Wednesday, May 10, 2023, at 10.30 am

Google Meet Link: meet.google.com/zod-rqkm-giu

Speaker: Kalyan Barman, Post-doctoral Fellow, IIT Madras

Title: The Title of my Talk is: “ Stable Approximation by
Stein’s Method”

Abstract:  Probability approximation is one of the basic theories in the literature of probability theory. It has wide range of applications in limit theorems, and various field of statistics. Stein’s method is one of the most popular technique studying approximation problems. In this talk, We discuss stable distributions in the context of Stein’s method. We discuss and unify the Stein identity for stable random variables available in the existing literature. We discuss the solution of stable Stein equation via semigroup approach. Further, we discuss error bounds for stable approximations, and also obtain rates of convergence results. Finally, We will show that the optimal convergence rate in the generalized central limit theorem can be obtained using our Stein’s method setup.

Venue: Ramanujan Hall, Mathematics Department

 Speaker: Luigi Accardi

 Affiliation: University of Rome Tor Vergata, Italy

 Date and time: 4.15 pm, Wednesday, May 10, 2023

 Talk link: meet.google.com/tss-oqhb-yop

 Title: Quantum Probability: a short historical survey of the main new ideas

 Abstract: Goal of my talk to put in historical perspective the
developments that, starting from 1974 have lead to a complete
clarification of all the so-called paradoxes of quantum mechanics and of
all the apparent mysteries that surrounded this discipline since its
origins. The path leading to this clarification has been long and
tortuous, but now we know that what physicists call quantization is a very
special case of a much wider and far reaching construction which naturally
arises (i.e. without any artificial, ad hoc, construction) from the
combination of classical probability with the theory of orthogonal
polynomials.
My talk will be an extremely short synthesis of the salient moments of
this path.