ERC Consolidator grant project IPFLOW

Principal Investigator : Colin Guillarmou


The subject of the ERC project is Inverse Problems and the analytic study of flows (Anosov flows, Axiom A flows, geodesic flows etc).
We aim to study :
* X-ray transform and boundary rigidity problems: can we recover a function/tensor from its integrals along geodesics ? Can  we recover a metric from the length of its geodesics ?
* Ruelle resonance spectrum for hyperbolic flows and long time dynamics.
* Microlocal methods for problems on flows, like rigidity questions.


* June 26-30, 2017: Summer school: Microlocal Analysis and Applications in Cardiff
* July 3-7, 2017: Summer school: Analytical aspects of hyperbolic flows
* February 7-8-9, 2018: mini workshop/working group seminars in Orsay
* June 4-8, 2018: workshop Analytic Study of Flows, Peyresq


# June 2017:  F. Faure, C. Guillarmou, Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension 3.
Preprint submitted. [arXiv:1705.07965]
# Sept. 2017: R. Graham, C. Guillarmou, P. Stefanov, G. Uhlmann, X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds.
Preprint submitted. [arXiv:1709.05053]
#  Nov. 2017: C. Guillarmou, M. Mazzucchelli, L. Tzou, Boundary and lens rigidity for non-convex manifolds.
Preprint submitted. [arXiv:1711.10059]