Stability and Statistical Inversion for Travel Time Tomography

Abstract

In this talk, the speaker will consider the travel time tomography for conformal metrics on a bounded domain which consists of determining the conformal factor of the metric from the length of geodesics joining boundary points. He and his research collaborators establish forward and inverse stability estimates for simple conformal metrics under some a priori conditions. They then apply the stability estimates to show the consistency of the statistical inversion of the travel time tomography with discrete, noisy measurements.

About the Speaker

Prof. ZHOU Hanming received his PhD in Mathematics from the University of Washington in 2015. He was a Postdoctoral Research Associate at the University of Cambridge during 2015-2017. He joined the University of California, Santa Barbara in 2017 and is currently an Associate Professor at the Department of Mathematics.

Prof. Zhou's research focuses on the mathematical analysis of inverse problems and their connections with concrete applications, often motivated by problems arising in medical imaging, geophysics, mathematical physics etc. His work is at the interface of several disciplines including partial differential equations, differential geometry, microlocal analysis and mathematical physics.

For Attendees' Attention

This talk will be held online via Zoom. To attend, please join the Zoom meeting at https://hkust.zoom.us/j/91465802652 (Meeting ID: 914 6580 2652 / Passcode: iasip2022).

About the Program

For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.