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Mathematics

D-Index
34
Citations
3295
World Ranking
2967
National Ranking
194

Overview

Gabriel P. Paternain is affiliated with the University of Cambridge in the United Kingdom. Their research focuses primarily on the field of Mathematics, with significant contributions across several subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Artificial Intelligence.

Their work spans numerous topics within mathematics, notably numerical methods in inverse problems, mathematical dynamics and fractals, advanced mathematical modeling in engineering, geometric and algebraic topology, geometry and complex manifolds, geometric analysis and curvature flows, and Gaussian processes and Bayesian inference.

Frequent co-authors collaborating with Gabriel P. Paternain include:

  • Mikko Salo
  • Günther Uhlmann
  • Jan Bohr
  • François Monard
  • Richard Nickl

The scientist has contributed to various publication venues, with multiple papers appearing in:

  • arXiv (Cornell University)
  • Mathematical Proceedings of the Cambridge Philosophical Society
  • Communications on Pure and Applied Mathematics
  • The Annals of Statistics
  • Journal of the European Mathematical Society

Some of their recent papers include:

  • Consistent Inversion of Noisy Non-Abelian X-Ray Transforms, 2020, Communications on Pure and Applied Mathematics
  • Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors, 2021, The Annals of Statistics
  • Detection of Hermitian connections in wave equations with cubic non-linearity, 2021, Journal of the European Mathematical Society
  • Convex projective surfaces with compatible Weyl connection are hyperbolic, 2020, Analysis & PDE
  • The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds, 2022, Inventiones mathematicae

Gabriel P. Paternain has also published a book titled Geometric Inverse Problems in 2023 through Cambridge University Press.

Best Publications

  • Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values

    G. Contreras;R. Iturriaga;G.P. Paternain;M. Paternain

  • Periodic orbits for exact magnetic flows on surfaces

    Gonzalo Contreras;Leonardo Macarini;Gabriel P. Paternain

  • Tensor tomography on surfaces

    Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

  • Symplectic topology of Ma\~n'e's critical values

    K. Cieliebak;U. Frauenfelder;G.P. Paternain

  • Tensor tomography: Progress and challenges

    Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann

  • The boundary rigidity problem in the presence of a magnetic field

    Nurlan S. Dairbekov;Gabriel P. Paternain;Plamen D. Stefanov;Gunther Uhlmann

  • Minimal entropy and collapsing with curvature bounded from below

    Gabriel P. Paternain;Jimmy Petean

  • On the topology of manifolds with completely integrable geodesic flows

    Gabriel P. Paternain

  • Contact geometry of the restricted three‐body problem

    Peter Albers;Urs Frauenfelder;Otto Van Koert;Gabriel P. Paternain

  • Symplectic topology of Mañé's critical values

    Kai Cieliebak;Urs Frauenfelder;Gabriel P Paternain

  • Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

    Gabriel Pedro Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

  • Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory

    Gabriel P. Paternain;Leonid Polterovich;Karl Friedrich Siburg

  • The attenuated ray transform for connections and Higgs fields

    Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

  • The contact geometry of the restricted 3-body problem

    Peter Albers;Urs Frauenfelder;Otto van Koert;Gabriel P. Paternain

  • Connecting orbits between static classes for generic Lagrangian systems

    Gonzalo Contreras;Gabriel P. Paternain

  • The geodesic X-ray transform with matrix weights

    Gabriel P. Paternain;Mikko Salo;Günther Uhlmann;Hanming Zhou

  • Anosov magnetic flows, critical values and topological entropy

    Keith Burns;Gabriel P Paternain

  • Magnetic rigidity of horocycle flows

    Gabriel P. Paternain

  • Spectral rigidity and invariant distributions on Anosov surfaces

    Gabriel Pedro Paternain;Mikko Salo;Gunther Uhlmann

  • On the existence of three closed magnetic geodesics for subcritical energies

    Alberto Abbondandolo;Leonardo Macarini;Gabriel P. Paternain

Frequent Co-Authors

Gunther Uhlmann
Gunther Uhlmann University of Washington
Mikko Salo
Mikko Salo University of Jyväskylä
Matti Lassas
Matti Lassas University of Helsinki
Plamen Stefanov
Plamen Stefanov Purdue University West Lafayette
Leonid Polterovich
Leonid Polterovich Tel Aviv University

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