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Inverse spectral problem for radial Schrödinger operator on [0, 1]

Frédéric Serier
Journal of Differential Equations, 2007, 235, pp.101-126. ⟨10.1016/j.jde.2006.12.014⟩
Journal articles hal-00008663v1
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On the wave operator for dissipative potentials with small imaginary part

Xue Ping Wang , Lu Zhu
Asymptotic Analysis, 2014, 86, pp.49-57
Journal articles hal-01005797v1
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Time-decay of semigroups generated by dissipative Schrödinger operators

Xue Ping Wang
Journal of Differential Equations, 2012, 253 (12), pp.3523-3542
Journal articles hal-01005809v1
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Finite deficiency indices and uniform remainder in Weyl's law

Luc Hillairet
2010
Preprints, Working Papers, ... hal-00445686v2

Spectral simplicity and asymptotic separation of variables

Luc Hillairet , Chris Judge
Communications in Mathematical Physics, 2011, 302 (2), pp.291-344. ⟨10.1007/s00220-010-1185-6⟩
Journal articles hal-00445680v1
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On Courant's nodal domain property for linear combinations of eigenfunctions, Part I

Pierre Bérard , Bernard Helffer
Documenta Mathematica, 2018, 23, pp.1561--1585
Journal articles hal-01519629v5
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Random weighted Sobolev inequalities and application to quantum ergodicity

Didier Robert , Laurent Thomann
Communications in Mathematical Physics, 2015, 335 (3), pp.1181--1209
Journal articles hal-00919443v3
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Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential

Xue Ping Wang
2014
Preprints, Working Papers, ... hal-00955484v3

Sparse representation of signals: from astrophysics to real-time data analysis for fusion plasmas and system optimization analysis for ITER and TCV

D Testa , H. Carfantan , M Albergante , P. Blanchard , Sébastien Bourguignon , et al.
Plasma Physics and Controlled Fusion, 2016, 58 (12), pp.123001. ⟨10.1088/0741-3335/58/12/123001⟩
Journal articles hal-02280728v1
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The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds

Thierry Daudé , Niky Kamran , François Nicoleau
Journal of Spectral Theory, In press
Journal articles hal-02277206v1
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Wildly perturbed manifolds: norm resolvent and spectral convergence

Colette Anné , Olaf Post
Journal of Spectral Theory, In press
Journal articles hal-02363893v1
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MAXIMAL ESTIMATES FOR THE FOKKER-PLANCK OPERATOR WITH MAGNETIC FIELD

Zeinab Karaki
2019
Preprints, Working Papers, ... hal-01975164v2
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Large time behavior solutions to Schrödinger equation with complex-valued potential

Maha Aafarani
2020
Preprints, Working Papers, ... hal-02190344v4
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Stability estimates for an inverse Steklov problem in a class of hollow spheres

Germain Gendron
2020
Preprints, Working Papers, ... hal-02618634v1
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Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains. Application to the Extended Courant Property

Pierre Bérard , Bernard Helffer
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2021, 30 (3), 429--462 / https://doi.org/10.5802/afst.1680
Journal articles hal-01783968v2

Nodal sets of eigenfunctions, Antonie Stern’s results revisited

Pierre Bérard , Bernard Helffer
Séminaire de Théorie Spectrale et Géométrie, 2014, 32, pp.1-37. ⟨10.5802/tsg.302⟩
Journal articles hal-02370707v1
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Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb{R}^2$

Pierre Bérard , Bernard Helffer
Contemporary mathematics, 2017, Geometric and Computational Spectral Theory, 700, pp.87--116
Journal articles hal-01160620v2

Algorithmes de type homotopiques pour la minimisation des moindres carrés régularisés par la "norme" $\ell_0$

Charles Soussen , Jérôme Idier , Junbo Duan , David Brie
43e Congrès National d'Analyse Numérique, CANUM 2016, May 2016, Obernai, France
Conference papers hal-01323012v1
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Lower bound of Schrödinger operators on Riemannian manifolds

M Lansade
2020
Preprints, Working Papers, ... hal-03021193v2
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Stability in the inverse Steklov problem on warped product Riemannian manifolds

Thierry Daudé , Niky Kamran , François Nicoleau
The Journal of Geometric Analysis, In press
Journal articles hal-01958317v1
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Démélange parcimonieux exact dans une approche supervisée en imagerie hyperspectrale

Ramzi Ben Mhenni , Sébastien Bourguignon , Jordan Ninin , Frédéric Schmidt
colloque GRETSI 2017, Sep 2017, Juan les Pins, France
Conference papers hal-02051435v1

Spectral theory of graphs and of manifolds - CIMPA 2016, Kairouan, Tunisia

Colette Anné , Nabila Torki-Hamza
2018
Books hal-02363831v1
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On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains -with some numerics

Bernard Helffer , T Hoffmann-Ostenhof , F Jauberteau , C Léna
2019
Preprints, Working Papers, ... hal-02063343v1

Individualized growth prediction of mice skin tumors with maximum likelihood estimators

Spyridon Patmanidis , Alexandros C. Charalampidis , Ioannis Kordonis , Katerina Strati , Georgios D. Mitsis , et al.
Computer Methods and Programs in Biomedicine, 2020, 185, pp.105165. ⟨10.1016/j.cmpb.2019.105165⟩
Journal articles hal-02361464v1
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Tunnel effect for semiclassical random walks

Jean-François Bony , Frédéric Hérau , Laurent Michel
Analysis & PDE, 2015, 8 (2), pp.289-332. ⟨10.2140/apde.2015.8.289⟩
Journal articles hal-00927089v1
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Uniqueness results in the inverse spectral Steklov problem

Germain Gendron
2020
Preprints, Working Papers, ... hal-02296410v2

Improvement of the total focusing method using an inverse problem approach

Ewen Carcreff , Nans Laroche , Sébastien Bourguignon , Dominique Braconnier
2017 IEEE International Ultrasonics Symposium (IUS), Sep 2017, Washington, United States. ⟨10.1109/ULTSYM.2017.8092783⟩
Conference papers hal-01818514v1
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The weak Pleijel theorem with geometric control

Pierre Bérard , Bernard Helffer
Journal of Spectral Theory, 2016, 6 (4), pp.717--733
Journal articles hal-01244630v2
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Courant-sharp Robin eigenvalues for the square and other planar domains

K Gittins , Bernard Helffer
Portugaliae Mathematica, In press
Journal articles hal-02369633v1
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Uniform resolvent estimates for a non-dissipative Helmholtz equation

Julien Royer
Bulletin de la société mathématique de France, 2014, 142 (4), pp.591--633
Journal articles hal-00578417v1