3 papers
math.NA2026
A Galerkin Finite Element Method for the Fractional Calderón Problem
Mukul Dwivedi, Jesse Railo, Andreas Rupp
We study a numerical reconstruction strategy for the potential in the fractional Calderón problem from a single partial exterior measurement. The forward model is the fractional S…
math.ST2025
Bayesian inference for the fractional Calderón problem with a single measurement
Pu-Zhao Kow, Janne Nurminen, Jesse Railo
This paper investigates the consistency of a posterior distribution in the single-measurement fractional Calderón problem with additive Gaussian noise. We consider a Bayesian fram…
math.DG2024
Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms
Shubham R. Jathar, Manas Kar, Jesse Railo
We study the injectivity of the matrix attenuated and nonabelian ray transforms on compact surfaces with boundary for nontrapping -geodesic flows and the general linear group o…