Pierre Bérard
Publications
Publications
|
|
Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylindersProceedings of the American Mathematical Society, 2022, 150, pp.439--453. ⟨10.1090/proc/15620⟩ |
|
|
Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains. Application to the Extended Courant PropertyAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2021, 30 (3), 429--462 / https://doi.org/10.5802/afst.1680. ⟨10.5802/afst.1680⟩ |
|
|
One can't hear orientability of surfacesMathematische Zeitschrift, 2021, https://doi.org/10.1007/s00209-021-02758-y. ⟨10.1007/s00209-021-02758-y⟩ |
|
|
Courant-sharp property for Dirichlet eigenfunctions on the Möbius stripPortugaliae Mathematica, 2021, 78 (1), pp.1--41. ⟨10.4171/pm/2059⟩ |
|
|
Non-boundedness of the number of super level domains of eigenfunctionsJournal d'analyse mathématique, 2021, https://doi.org/10.1007/s11854-021-0189-9. ⟨10.1007/s11854-021-0189-9⟩ |
|
|
Sturm's theorem on zeros of linear combinations of eigenfunctionsExpositiones Mathematicae, 2020, 38 (1), 27--50 / http://dx.doi.org/10.1016/j.exmath.2018.10.002. ⟨10.1016/j.exmath.2018.10.002⟩ |
|
|
Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implementedMoscow Mathematical Journal, 2020, 20 (1), pp.1--25. ⟨10.17323/1609-4514-2020-20-1-1-25⟩ |
|
|
On Courant's nodal domain property for linear combinations of eigenfunctions, Part IDocumenta Mathematica, 2018, 23, pp.1561--1585 |
|
|
Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb{R}^2$Contemporary mathematics, 2017, Geometric and Computational Spectral Theory, 700, pp.87--116. ⟨10.1090/conm/700/14184⟩ |
|
|
The weak Pleijel theorem with geometric controlJournal of Spectral Theory, 2016, 6 (4), pp.717--733. ⟨10.4171/jst/138⟩ |
|
|
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangleLetters in Mathematical Physics, 2016, 106 (12), pp.1729--1789. ⟨10.1007/s11005-016-0819-9⟩ |
|
|
A. Stern's analysis of the nodal sets of some families of spherical harmonics revisitedMonatshefte für Mathematik, 2016, 180 (3), pp.435--468. ⟨10.1007/s00605-015-0788-6⟩ |
|
|
Minimal hypersurfaces in $\HH^n \times \R$, total curvature and indexBollettino dell'Unione Matematica Italiana, 2016, 9 (3), pp.341--468. ⟨10.1007/s40574-015-0050-0⟩ |
|
|
Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analysesSpringer Proceedings in Mathematics & Statistics, 2015, Analysis and Geometry. MIMS-GGTM conference in memory of M. S. Baouendi. Ali Baklouti, Aziz El Kacimi, Sadok Kallel, and Nordine Mir Editors., 127, pp.69--114 |
|
|
Remarks on the boundary set of spectral equipartitionsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, 372, pp.20120492. ⟨10.1098/rsta.2012.0492⟩ |
|
|
Nodal sets of eigenfunctions, Antonie Stern’s results revisitedSéminaire de Théorie Spectrale et Géométrie, 2014, 32, pp.1-37. ⟨10.5802/tsg.302⟩ |
|
|
Stability Properties of Rotational Catenoids in the Heisenberg GroupsMatemática Contemporânea, 2014, 43, pp.37--60 |
|
|
Inverse spectral positivity for surfacesRevista Matemática Iberoamericana, 2014, 30 (4), pp.1237-1264. ⟨10.4171/rmi/813⟩ |
|
|
Edited extracts from Antonie Stern’s thesisSéminaire de Théorie Spectrale et Géométrie, 2014, 32, pp.39-72. ⟨10.5802/tsg.303⟩ |
|
|
Spectral positivity and Riemannian coveringsBulletin of the London Mathematical Society, 2013, 45, pp.1041-1048. ⟨10.1112/blms/bdt030⟩ |
|
|
Eigenvalue estimates for hypersurfaces in $H^m \times R$ and applicationsPacific Journal of Mathematics, 2011, 253 (1), pp.19-35. ⟨10.2140/pjm.2011.253.19⟩ |
|
|
Lindelöf's theorem for hyperbolic catenoidsProceedings of the American Mathematical Society, 2010, 138, pp.3657-3669. ⟨10.1090/S0002-9939-2010-10492-6⟩ |
|
|
Sur le rôle des publications en mathématiquesMédecine/Sciences, 2008, 24 (6-7), pp.647-651. ⟨10.1051/medsci/20082467647⟩ |
|
|
Examples of $H$-hypersurfaces in $H^n \times R$ and geometric applicationsMatemática Contemporânea, 2008, 34 (2008), pp.19-51 |
|
|
La documentation mathématique à l’aube du 21e siècleLettres des départements scientifiques du CNRS. Sciences physiques et mathématiques, 2002, 38, pp.7-9 |
|
|
Index Growth of hypersurfaces with constant mean curvatureMathematische Zeitschrift, 2002, 239,no.1, pp.99-115 |
|
|
Documentation mathématique - Enjeux et éléments de réponseGazette des Mathématiciens, 2001, 90, pp.36-40 |
La documentation en mathématiquesLettres des départements scientifiques du CNRS. Sciences physiques et mathématiques, 2000, 35, pp.5-7 |
|
Compte rendu de la réunion d'information et du débat sur la documentation en mathématiquesGazette des Mathématiciens, 1999, 79, pp.99-103 |
|
General curvature estimates for stable H-surfaces immersed into a space formJournal de Mathématiques Pures et Appliquées, 1999, 78 (9), pp.667-700 |
|
Zoom sur la Cellule MathDocLe Calepin, 1999, 72 |
|
Une structure nationale au service de la documentation mathématiqueLettres des départements scientifiques du CNRS. Sciences physiques et mathématiques, 1997, 31, pp.14-15 |
Des publications en ligne aux archives numérisées, pour l’émergence de véritables "bibliothèques numériquesÉvolution des publications scientifiques - Le regard des chercheurs, Colloque organisé à l’initiative de Jean-François Bach, Secrétaire perpétuel de l'Académie des Sciences, May 2007, Paris, France |
|
Consortia et négociations pour l’accès aux journaux électroniquesANF 2004 - Documentations en Mathématiques, Réseau National des Bibliothèques de Mathématiques, Oct 2004, Marseille, France |
|
Accès pérenne aux ressources électroniquesANF 2004 - Documentations en Mathématiques, Réseau National des Bibliothèques de Mathématiques, Oct 2004, Marseille, France |
|
|
|
Documentation issues for mathematics in the digital ageIFLA 2002 - 68th IFLA Council and General Conference, International Federation of Library Associations and Institutions, Aug 2002, Glasgow, United Kingdom. pp.147-160 |
An elementary introduction to eigenvalue problems with an application to catenoids in $R^3$XV Escola de geometria diferencial. IMPA - Instituto nacional de matematica pura e aplicada, Rio de Janeiro (Brasil), pp.52, 2008 |
|
|
On Courant's nodal domain property for linear combinations of eigenfunctions, Part~{II}Albeverio S.; Balslev A.; Weder R. Schrödinger Operators, Spectral Analysis and Number Theory, 348, Springer International Publishing, pp 47-88, 2021, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-68490-7_4⟩ |
NUMDAM - Digitisation of Ancient Mathematics Documents2003 |
|
|
Upper bounds on eigenvalue multiplicities for spheres and plane domains revisited2026 |
|
|
AN EULER-TYPE FORMULA FOR PARTITIONS OF THE MÖBIUS STRIP2020 |
|
|
On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern2014 |
|
|
Remarks on J. Espinar’s “Finite index operators on surfaces”2024 |
|
|
Remarks on J. Espinar's ''Finite index operators on surfaces2012 |
|
|
Lindelöf's theorem for catenoids revisited2009 |