Emmanuel Humbert

Publications

Article dans une revue (25)

On the first hitting time of a high-dimensional orthant Emmanuel Humbert,Kilian Raschel Electronic Communications in Probability, 2025, 30, pp.39. ⟨10.1214/25-ECP688⟩ Article dans une revue hal-05220909v1
Quantum Limits on product manifolds Emmanuel Humbert,Yannick Privat,Emmanuel Trélat Indiana University Mathematics Journal, 2023, 72 (2), pp.757-783. ⟨10.1512/iumj.2023.72.9755⟩ Article dans une revue hal-03562358v1
Geometric and probabilistic results for the observability of the wave equation Emmanuel Humbert,Yannick Privat,Emmanuel Trélat Journal de l'École polytechnique — Mathématiques, 2022, Tome 9, pp.431--461. ⟨10.5802/jep.186⟩ Article dans une revue hal-01652890v3
Time-Dependent Behavior of Saint-Martin-La-Porte Exploratory Galleries: Field Data Processing and Numerical Modeling of Excavation in Squeezing Rock Conditions Yichun Liu,Jean Sulem,Didier Subrin,Huy Tran-Manh,Emmanuel Humbert International Journal of Geomechanics, 2021, 21 (12), ⟨10.1061/(ASCE)GM.1943-5622.0002200⟩ Article dans une revue hal-03409430v1
Observability properties of the homogeneous wave equation on a closed manifold Emmanuel Humbert,Yannick Privat,Emmanuel Trélat Communications in Partial Differential Equations, 2019, 44 (9), pp.749--772. ⟨10.1080/03605302.2019.1581799⟩ Article dans une revue hal-01338016v4
Low-dimensional surgery and the Yamabe invariant Bernd Ammann,Mattias Dahl,Emmanuel Humbert Journal of the Mathematical Society of Japan, 2015, 67 (1), pp.159-182. ⟨10.2969/jmsj/06710159⟩ Article dans une revue hal-01282155v1
Mass endomorphism, surgery and perturbations Bernd Ammann,Mattias Dahl,Andreas Hermann,Emmanuel Humbert Annales de l'Institut Fourier, 2014, 64 (2), pp.467-487. ⟨10.5802/aif.2855⟩ Article dans une revue hal-00521700v1
A non-existence result for a generalization of the equations of the conformal method in general relativity Mattias Dahl,Romain Gicquaud,Emmanuel Humbert Classical and Quantum Gravity, 2013, 30 (7), ⟨10.1088/0264-9381/30/7/075004⟩ Article dans une revue hal-00783621v1
Smooth Yamabe invariant and surgery Bernd Ammann,Mattias Dahl,Emmanuel Humbert Journal of Differential Geometry, 2013, 94 (1), pp.1-58 Article dans une revue hal-00271361v3
Square-integrability of solutions of the Yamabe equation Bernd Ammann,Mattias Dahl,Emmanuel Humbert Communications in Analysis and Geometry, 2013, 21 (5), pp.891-916. ⟨10.4310/CAG.2013.v21.n5.a2⟩ Article dans une revue hal-01282157v1
The conformal Yamabe constant of product manifolds Bernd Ammann,Mattias Dahl,Emmanuel Humbert Proceedings of the American Mathematical Society, 2013 Article dans une revue hal-01282903v1
A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method Mattias Dahl,Romain Gicquaud,Emmanuel Humbert Duke Mathematical Journal, 2012, 161 (14), pp.2669-2698 Article dans une revue hal-00783632v1
Harmonic spinors and local deformations of the metric Bernd Ammann,Mattias Dahl,Emmanuel Humbert Mathematical Research Letters, 2011 Article dans une revue hal-01282305v1
An isoperimetric constant associated to horizons in S3 blown-up at two points Mattias Dahl,Emmanuel Humbert Journal of Geometry and Physics, 2011 Article dans une revue hal-01282908v1
Positive mass theorem for the Paneitz-Branson operator Emmanuel Humbert,Simon Raulot Calculus of Variations and Partial Differential Equations, 2009, 36 (4), pp.525-531. ⟨10.1007/s00526-009-0241-6⟩ Article dans une revue hal-00297324v1
A Pohozaev type identity for Dirac operators Bernd Ammann,Emmanuel Humbert,Mohameden Ould Ahmedou Proceedings of the American Mathematical Society, 2007, 135, pp.489-493 Article dans une revue hal-00091168v1
The geometrical quantity in damped wave equations on a square. Pascal Hébrard,Emmanuel Humbert ESAIM: Control, Optimisation and Calculus of Variations, 2006, 12 (4), pp.636-661 Article dans une revue hal-00151174v1
The second Yamabe invariant Bernd Ammann,Emmanuel Humbert Journal of Functional Analysis, 2006, 235, pp.377-412 Article dans une revue hal-00140807v1
The first conformal Dirac eigenvalue on 2-dimensional tori Bernd Ammann,Emmanuel Humbert Journal of Geometry and Physics, 2006, 56, pp.623-642 Article dans une revue hal-00101461v1
Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds Bernd Ammann,Emmanuel Humbert,Bertrand Morel Communications in Analysis and Geometry, 2006, 14, pp.163-182 Article dans une revue hal-00101446v1
Positive mass theorem for the Yamabe problem on Spin manifolds Bernd Ammann,Emmanuel Humbert Geometric And Functional Analysis, 2005, 15 (3), pp.567-576. ⟨10.1007/s00039-005-0521-z⟩ Article dans une revue hal-00138756v1
The problem of prescribed critical functions Emmanuel Humbert,Michel Vaugon annals of global analysis, 2005, 28, No1, p 19-34. ⟨10.1007/s10455-005-1583-8⟩ Article dans une revue hal-00138196v1
Extremal functions functions for the sharp $L\sp 2$-Nash inequality Emmanuel Humbert Calculus of Variations and Partial Differential Equations, 2005, 22 (1), pp.21-44 Article dans une revue hal-00146731v1
Extremal functions for the sharp $L^2-$ Nash inequality Emmanuel Humbert Calculus of Variations and Partial Differential Equations, 2005, 22, No 1, p 21-44 Article dans une revue hal-00138199v1
Un problème de type Yamabe sur les variétés compactes spinorielles compactes Bernd Ammann,Emmanuel Humbert,Bertrand Morel Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, 338 (12), pp.929-934 Article dans une revue hal-00147465v2

Communication dans un congrès (1)

The first eigenvalue of the Dirac operator in a conformal class Bernd Ammann,Emmanuel Humbert Symmetry in Geometry and Physics, conference in Honour of D. V. Alekseevsky, 2005, Rome, Italy Communication dans un congrès hal-00098394v1

Chapitre d'ouvrage (1)

Numerical Modeling of Rock-Support Interaction Under Squeezing Conditions Yichun Liu,Jean Sulem,Didier Subrin,Huy Tran-Manh,Emmanuel Humbert Challenges and Innovations in Geomechanics. IACMAG 2021. Lecture Notes in Civil Engineering, vol 126. Springer, pp.403-410, 2021, ⟨10.1007/978-3-030-64518-2_48⟩ Chapitre d'ouvrage hal-03153229v1

Pré-publication, Document de travail (14)

DISCRETE HARMONIC POLYNOMIALS IN MULTIDIMENSIONAL ORTHANTS Emmanuel Humbert,Kilian Raschel 2025 Pré-publication, Document de travail hal-05061259v1
Extremising eigenvalues of the GJMS operators in a fixed conformal class Emmanuel Humbert,Romain Petrides,Bruno Premoselli 2025 Pré-publication, Document de travail hal-05264856v1
Observability for generalized Schrödinger equations and quantum limits on product manifolds Emmanuel Humbert,Yannick Privat,Emmanuel Trélat 2020 Pré-publication, Document de travail hal-02496644v1
Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits Emmanuel Humbert,Yannick Privat,Emmanuel Trélat 2018 Pré-publication, Document de travail hal-01939709v1
Mass functions of a compact manifold Andreas Hermann,Emmanuel Humbert 2018 Pré-publication, Document de travail hal-01818684v1
Optimal transportation between hypersurfaces bounding some strictly convex domains Emmanuel Humbert,Luc Molinet 2015 Pré-publication, Document de travail hal-01271012v1
About the mass of certain second order elliptic operators Andreas Hermann,Emmanuel Humbert 2014 Pré-publication, Document de travail hal-00925288v1
Mécanique Quantique Emmanuel Humbert 2012 Pré-publication, Document de travail hal-00660265v1
Relativité générale (d'après M.Vaugon) et quelques problèmes mathématiques qui en sont issus Emmanuel Humbert 2010 Pré-publication, Document de travail hal-00530721v2
Relative Yamabe invariant and c-concordant metrics Emmanuel Humbert 2008 Pré-publication, Document de travail hal-00309127v2
Surgery and the spinorial tau-invariant Bernd Ammann,Mattias Dahl,Emmanuel Humbert 2008 Pré-publication, Document de travail hal-00184126v3
The first eigenvalue of Dirac and Laplace operators on surfaces Jean-Francois Grosjean,Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00095771v1
The spinorial $\tau$-invariant and 0-dimensional surgery Bernd Ammann,Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00087981v1
Surgery and Harmonic Spinors Bernd Ammann,Mattias Dahl,Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00079157v1