Title of the talk: "Time-changed Counting Processes"

Date, Time & Venue: 14 August 2025  at 12:00 PM, Seminar Hall, Dept. of Mathematics

Abstract: The Poisson process is a fundamental Lévy process widely used to model count data. In recent years, subordinated Poisson processes—such as the time-fractional Poisson process, the space-fractional Poisson process, and the space–time fractional Poisson process—have attracted significant attention from researchers. In this talk, we present several time-changed variants of generalized counting processes, focusing on time-changed versions of the fractional Poisson process and other generalized counting processes, where the time changes are introduced via an independent Lévy subordinator and its inverse. We also highlight our current work on the tempered version of the Hawkes process and its generalized form.

About the Speaker: Dr. Neha Gupta currently affiliated with TIH–IIT Bombay and IIM Indore as a Research Scientist on the BharatGen project. Prior to this, she was a Postdoctoral Researcher at IIT Kanpur and, before that, she was a Research Associate at ISI Delhi. Dr. Neha Gupta earned her Ph.D. from IIT Ropar. Her research interests lie in fractional stochastic processes and subordinated versions of certain counting processes.