Emmanuel Humbert

Documents

Publications

	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
	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 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
	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 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
	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
	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
	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
	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
	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

	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

	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

	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
	Mass functions of a compact manifold Andreas Hermann , Emmanuel Humbert 2018 Pré-publication, Document de travail hal-01818684v1
	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
	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
	Surgery and Harmonic Spinors Bernd Ammann , Mattias Dahl , Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00079157v1
	The spinorial $\tau$-invariant and 0-dimensional surgery Bernd Ammann , Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00087981v1
	The first eigenvalue of Dirac and Laplace operators on surfaces Jean-Francois Grosjean , Emmanuel Humbert 2006 Pré-publication, Document de travail hal-00095771v1

Emmanuel Humbert

Publications

Quantum Limits on product manifolds

Geometric and probabilistic results for the observability of the wave equation

Time-Dependent Behavior of Saint-Martin-La-Porte Exploratory Galleries: Field Data Processing and Numerical Modeling of Excavation in Squeezing Rock Conditions

Observability properties of the homogeneous wave equation on a closed manifold

Low-dimensional surgery and the Yamabe invariant

Mass endomorphism, surgery and perturbations

Smooth Yamabe invariant and surgery

Square-integrability of solutions of the Yamabe equation

The conformal Yamabe constant of product manifolds

A non-existence result for a generalization of the equations of the conformal method in general relativity

A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method

Harmonic spinors and local deformations of the metric

An isoperimetric constant associated to horizons in S3 blown-up at two points

Positive mass theorem for the Paneitz-Branson operator

A Pohozaev type identity for Dirac operators

The first conformal Dirac eigenvalue on 2-dimensional tori

The geometrical quantity in damped wave equations on a square.

The second Yamabe invariant

Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds

The problem of prescribed critical functions

Positive mass theorem for the Yamabe problem on Spin manifolds

Extremal functions functions for the sharp $L\sp 2$-Nash inequality

Extremal functions for the sharp $L^2-$ Nash inequality

Un problème de type Yamabe sur les variétés compactes spinorielles compactes

The first eigenvalue of the Dirac operator in a conformal class

Numerical Modeling of Rock-Support Interaction Under Squeezing Conditions

Observability for generalized Schrödinger equations and quantum limits on product manifolds

Mass functions of a compact manifold

Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Optimal transportation between hypersurfaces bounding some strictly convex domains

About the mass of certain second order elliptic operators

Mécanique Quantique

Relativité générale (d'après M.Vaugon) et quelques problèmes mathématiques qui en sont issus

Relative Yamabe invariant and c-concordant metrics

Surgery and the spinorial tau-invariant

Surgery and Harmonic Spinors

The spinorial $\tau$-invariant and 0-dimensional surgery

The first eigenvalue of Dirac and Laplace operators on surfaces