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19992025
most citedMacroscopic current fluctuations in stochastic lattice gases

274 citations

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math.DG2025

Positive Energy Theorems for Spin Initial Data with Charge

Simon Raulot

We establish positive energy theorems for complete spin initial data sets with charge in dimensions , under a dominant energy condition and assuming the existence of at l…

math.DG2022

First boundary Dirac eigenvalue and boundary capacity potential

Simon Raulot

We derive new lower bounds for the first eigenvalue of the Dirac operator of an oriented hypersurface bounding a noncompact domain in a spin asymptotically flat manifold (M n ,…

math.DG2022

Nonexistence of DEC spin fill-ins

Simon Raulot

In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature fu…

math.DG2019★ 1 cited

Scalar Flat Compactifications Of Poincar{é}-einstein Manifolds And Applications

Simon Raulot

We derive an integral inequality between the mean curvature and the scalar curvature of the boundary of any scalar flat conformal compactifications of Poincar{é}-Einstein manifolds…

math.DG2019★ 2 cited

The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity

Oussama Hijazi, Sebastian Montiel, Simon Raulot

Let (M, g) be an (n + 1)-dimensional asymptotically locally hyperbolic (ALH) manifold with a conformal compactification whose conformal infinity is (M, []). We will fi…

math.DG2019★ 2 cited

An Alexandrov theorem in Minkowski spacetime

Oussama Hijazi, Sebastian Montiel, Simon Raulot

In this paper, we generalize a theorem {à} la Alexandrov of Wang, Wang and Zhang [WWZ] for closed codimension-two spacelike submanifolds in the Minkowski spacetime for an adapted C…