Gabriel P. Paternain
Mathematical Physics · 2000–2020
A researcher in the Science corpus: 12 papers; trusts 17 researchers and is trusted by 10 researchers here, as inferred from the citation graph.
Subfields
- Mathematical Physics — 35 citations into it; #2,994 of 8,562 by trust here, #2,038 by citations
- Applied Mathematics — 23 citations into it; #4,315 of 7,620 by trust here, #4,234 by citations
- Computational Theory and Mathematics — 18 citations into it
- Statistics and Probability — 17 citations into it
- Geometry and Topology — 14 citations into it; #2,837 of 7,422 by trust here, #2,207 by citations
- Artificial Intelligence — 11 citations into it
- Astronomy and Astrophysics — 5 citations into it; #8,317 of 10,964 by trust here, #9,988 by citations
Whom Gabriel P. Paternain trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Gunther Uhlmann
- Vladimir A. Sharafutdinov
- Mikko Salo
- I. Castillo
- A. Fathi
- C. LeBrun
- Kai Cieliebak
- Misha Gromov
- C. Guillarmou
- Matti Lassas
Who trusts Gabriel P. Paternain overall
- G. Contreras
- A. Sorrentino
- W. Ziller
- P. Bernard
- C. Guillarmou
- Alexandra Monzner
- Urs Frauenfelder
- Mikko Salo
- Nicolas Vichery
Papers from Gabriel P. Paternain's perspective
Ordered by how strongly the researchers Gabriel P. Paternain trusts endorse each paper. Same corpus, a different order for every researcher.
- The attenuated ray transform on simple surfaces
- Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature
- Geometric Function Theory and Non-linear Analysis
- The Riemann Surfaces
- On Deformation Boundary Rigidity and Spectral Rigidity of Riemannian Surfaces with No Focal Points
- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- BAYESIAN INVERSE PROBLEMS WITH GAUSSIAN PRIORS
- Metric Structures for Riemannian and Non-Riemannian Spaces
- On conformal Killing symmetric tensor fields on Riemannian manifolds
- Spectral rigidity and invariant distributions on Anosov surfaces
Their papers
- Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors (2020) — 48 citations
- Inverse problems for the connection Laplacian (2015) — 65 citations
- Invariant distributions, Beurling transforms and tensor tomography in higher dimensions (2014) — 71 citations
- Spectral rigidity and invariant distributions on Anosov surfaces (2012) — 59 citations
- Contact geometry of the restricted three‐body problem (2010) — 79 citations
- Periodic orbits for exact magnetic flows on surfaces (2004) — 117 citations
- Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory (2002) — 71 citations
- Connecting orbits between static classes for generic Lagrangian systems (2002) — 72 citations
- Anosov magnetic flows, critical values and topological entropy (2002) — 72 citations
- Genericity of Geodesic Flows with Positive Topological Entropy on S2 (2002) — 50 citations
- The Palais-Smale Condition and Mañé's Critical Values (2000) — 52 citations
- Minimal entropy and collapsing with curvature bounded from below (2000) — 86 citations