Guillarmou Lab

Research focus

ERC Consolidator Grant · 2016

Inverse Problems and Flows

In this project, we propose to study mixing and rigidity properties of a large class of flows in geometry and dynamical systems using novel microlocal and spectral methods. Such methods, recently developed for flows with hyperbolicity, are based on the construction of new functional spaces, adapted to the considered flow, on which the generating vector field is Fredholm with discrete spectrum, known as the resonance spectrum. We want to apply these tools to the following categories of long-standing problems: 1) Geometric inverse problems: boundary and lens rigidity problems, analysis of the X-ray transforms for geodesic flows and its applications to Calderon and Gelfand inverse problems. 2)…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.