Professor Gabriel Paternain | Department of Pure Mathematics and Mathematical Statistics

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Professor of Mathematics

Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.

Publications

The Transport Oka-Grauert principle for simple surfaces

J Bohr, GP Paternain

– Journal de l’École polytechnique — Mathématiques

(2023)

10,

727

(doi: 10.5802/jep.231)

Marked length spectrum rigidity for Anosov surfaces

C Guillarmou, T Lefeuvre, GP Paternain

(2023)

(link to publication)

Invariant distributions and the transport twistor space of closed surfaces

J Bohr, T Lefeuvre, GP Paternain

(2023)

(link to publication)

Geometric Inverse Problems

GP Paternain, M Salo, G Uhlmann

(2023)

204,

1

(doi: 10.1017/9781009039901)

The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds

M Cekic, B Delarue, S Dyatlov, GP Paternain

– Inventiones Mathematicae

(2022)

229,

303

(doi: 10.1007/s00222-022-01108-x)

Broken ray tensor tomography with one reflecting obstacle

J Ilmavirta, GP Paternain

– COMMUNICATIONS IN ANALYSIS AND GEOMETRY

(2022)

30,

1269

(link to publication)

Detection of Hermitian connections in wave equations with cubic non-linearity

X Chen, M Lassas, L Oksanen, GP Paternain

– Journal of the European Mathematical Society

(2022)

24,

2191

(doi: 10.4171/JEMS/1136)

Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors

F Monard, R Nickl, GP Paternain

– The Annals of Statistics

(2021)

49,

3255

(doi: 10.1214/21-aos2082)

On some information-theoretic aspects of non-linear statistical inverse problems

R Nickl, G Paternain

(2021)

(link to publication)

Inverse Problem for the Yang-Mills Equations

X Chen, M Lassas, L Oksanen, GP Paternain

– Communications in Mathematical Physics

(2021)

384,

1187

(doi: 10.1007/s00220-021-04006-0)