University of Luxembourg

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19932026

most citedSchNet - a deep learning architecture for molecules and materials

2.3k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2016 · math.DGShow all

9 papers · 2 filters

math.DG2016

Derivatives of Feynman-Kac Semigroups

James Thompson

We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a complete Riemannian manifold. We derive local estimates and give bounds on the lo…

math.DG2016★ 1 cited

Constant Gauss curvature foliations of AdS spacetimes with particles

Qiyu Chen, Jean-Marc Schlenker

We prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-dimensional space-time $N$ with particles (cone singularities of angles less than $π$ along ti…

math.DG2016★ 1 cited

Constant mean curvature foliation of domains of dependence in $A d S_{3}$

Andrea Tamburelli

We prove that, given an acausal curve $Γ$ in the boundary at infinity of $A d S_{3}$ which is the graph of a quasi-symmetric homeomorphism $ϕ$ , there exists a unique foliation of its…

math.DG2016★ 15 cited

Area-preserving diffeomorphism of the hyperbolic plane and K-surfaces in Anti-de Sitter space

Francesco Bonsante, Andrea Seppi

We prove that any weakly acausal curve $Γ$ in the boundary of Anti-de Sitter (2+1)-space is the asymptotic boundary of two spacelike $K$ -surfaces, one of which is past-convex and t…

math.DG2016★ 1 cited

Prescribing metrics on the boundary of AdS 3-manifolds

Andrea Tamburelli

We prove that given two metrics $g_{+}$ and $g_{-}$ with curvature $κ < - 1$ on a closed, oriented surface $S$ of genus $τ \geq 2$ , there exists an $A d S$ manifold $N$ with smooth, spac…

math.DG2016★ 2 cited

Attractors in spacetimes and time functions

Daniel Monclair

We develop a new approach to the existence of time functions on Lorentzian manifolds, based on Conley's work regarding Lyapunov functions for dynamical systems. We recover Hawking'…

math.DG2016★ 26 cited

Splitting theorem for $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

Smooth $Z_{2}^{n}$ -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the "scalar product" of the involved $Z_{2}^{n}$ -degr…

math.DG2016★ 2 cited

The category of $Z_{2}^{n}$ -supermanifolds

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

In Physics and in Mathematics $Z_{2}^{n}$ -gradings, $n > 1$ , appear in various fields. The corresponding sign rule is determined by the `scalar product' of the involved $\mathbb…

math.DG2016★ 12 cited

Atiyah classes and dg-Lie algebroids for matched pairs

Panagiotis Batakidis, Yannick Voglaire

For every Lie pair $(L, A)$ of algebroids we construct a dg-manifold structure on the $Z$ -graded manifold $M = L [1] \oplus L / A$ such that the inclusion $ι: A[1] \to \…

Derivatives of Feynman-Kac Semigroups

Constant Gauss curvature foliations of AdS spacetimes with particles

Constant mean curvature foliation of domains of dependence in AdS3​

Area-preserving diffeomorphism of the hyperbolic plane and K-surfaces in Anti-de Sitter space

Prescribing metrics on the boundary of AdS 3-manifolds

Attractors in spacetimes and time functions

Splitting theorem for Z2n​-supermanifolds

The category of Z2n​-supermanifolds

Atiyah classes and dg-Lie algebroids for matched pairs

Constant mean curvature foliation of domains of dependence in $A d S_{3}$

Splitting theorem for $Z_{2}^{n}$ -supermanifolds

The category of $Z_{2}^{n}$ -supermanifolds