Emmanuel Humbert

41
Documents

Publications

Publications

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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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The second Yamabe invariant

Bernd Ammann , Emmanuel Humbert

Journal of Functional Analysis, 2006, 235, pp.377-412

Article dans une revue hal-00140807v1
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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

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
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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
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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
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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
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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
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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
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DISCRETE HARMONIC POLYNOMIALS IN MULTIDIMENSIONAL ORTHANTS

Emmanuel Humbert , Kilian Raschel

2025

Pré-publication, Document de travail hal-05061259v1
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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
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Mass functions of a compact manifold

Andreas Hermann , Emmanuel Humbert

2018

Pré-publication, Document de travail hal-01818684v1
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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
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Optimal transportation between hypersurfaces bounding some strictly convex domains

Emmanuel Humbert , Luc Molinet

2015

Pré-publication, Document de travail hal-01271012v1
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About the mass of certain second order elliptic operators

Andreas Hermann , Emmanuel Humbert

2014

Pré-publication, Document de travail hal-00925288v1
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Mécanique Quantique

Emmanuel Humbert

2012

Pré-publication, Document de travail hal-00660265v1
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Relativité générale (d'après M.Vaugon) et quelques problèmes mathématiques qui en sont issus

Emmanuel Humbert

2010

Pré-publication, Document de travail hal-00530721v2
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Relative Yamabe invariant and c-concordant metrics

Emmanuel Humbert

2008

Pré-publication, Document de travail hal-00309127v2
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Surgery and the spinorial tau-invariant

Bernd Ammann , Mattias Dahl , Emmanuel Humbert

2008

Pré-publication, Document de travail hal-00184126v3
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The spinorial $\tau$-invariant and 0-dimensional surgery

Bernd Ammann , Emmanuel Humbert

2006

Pré-publication, Document de travail hal-00087981v1
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Surgery and Harmonic Spinors

Bernd Ammann , Mattias Dahl , Emmanuel Humbert

2006

Pré-publication, Document de travail hal-00079157v1
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The first eigenvalue of Dirac and Laplace operators on surfaces

Jean-Francois Grosjean , Emmanuel Humbert

2006

Pré-publication, Document de travail hal-00095771v1