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Yves Colin de Verdière

41
Documents

Presentation

- Previous publications available on [My webpage at Institut Fourier](https://www-fourier.ujf-grenoble.fr/~ycolver/)

Publications

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Inertia-gravity waves in geophysical vortices

Jérémie Vidal , Yves Colin de Verdìère
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, In press
Journal articles hal-04458645v1
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A proof of a Melrose's trace formula

Yves Colin de Verdière
Advances Nonlinear Studies, 2023, 23, pp.20220054
Journal articles hal-03667271v2
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On essential-selfadjointness of differential operators on closed manifolds

Yves Colin de Verdìère , Corentin Le Bihan
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2022, 31 (5), pp.1287--1302
Journal articles hal-02540423v2
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Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

Yves Colin de Verdìère , Luc Hillairet , Emmanuel Trélat
Annales Henri Lebesgue, 2021, 4, pp.897--971. ⟨10.5802/ahl.93⟩
Journal articles hal-02535865v1
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Attractors for two dimensional waves with homogeneous Hamiltonians of degree 0

Yves Colin de Verdìère , Laure Saint-Raymond , Yves Colin Deverdì
Communications on Pure and Applied Mathematics, 2019, 73 (2), pp.421-462. ⟨10.1002/cpa.21845⟩
Journal articles hal-01685278v3
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Spectral theory of pseudo-differential operators of degree 0 and application to forced linear waves

Yves Colin de Verdìère
Analysis & PDE, inPress
Journal articles hal-01761011v2
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Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3D contact case.

Yves Colin de Verdière , Luc Hillairet , Emmanuel Trélat
Duke Mathematical Journal, 2018, 167 (1), pp.109--174
Journal articles hal-01144257v4

Topological Resonances on Quantum Graphs

Yves Colin de Verdìère , Francoise Truc
Annales Henri Poincaré, inPress
Journal articles hal-01298494v2
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Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold

Yves Colin de Verdière
Annales Henri Poincaré, 2015, 16 (2), pp.347-364
Journal articles hal-00907569v2

The semi-classical ergodic theorem for discontinuous metrics.

Yves Colin de Verdìère
Actes du Séminaire de Théorie Spectrale et Géométrie (Grenoble), 2014, 31, pp.71-89
Journal articles hal-01634895v1
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Magnetic interpretation of the nodal defect on graphs

Yves Colin de Verdière
Analysis & Partial Differential Equations, 2013, 6 (5), pp.1235--1242. ⟨10.2140/apde.2013.6.1235⟩
Journal articles hal-00656768v2
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Semi-classical trace formulas and heat expansions

Yves Colin de Verdière
Analysis & PDE, 2012, 5 (3), pp.693--703. ⟨10.2140/apde.2012.5.693⟩
Journal articles hal-00578731v4
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Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields

Yves Colin de Verdière , Nabila Torki-Hamza , Francoise Truc
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2011, 20 (3), pp.597-609
Journal articles hal-00541062v1
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Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs

Yves Colin de Verdière , Nabila Torki-Hamza , Francoise Truc
Mathematical Physics Analysis and Geometry, 2011, 14 (1), pp.21-38. ⟨10.1007/s11040-010-9086-7⟩
Journal articles hal-00496165v3
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Semi-classical analysis and passive imaging

Yves Colin de Verdière
Nonlinearity, 2009, 22, pp.R45-R75
Journal articles hal-00264373v3

Cross-correlation of random fields: mathematical approach and applications

Pierre Gouedard , L. Stehly , F. Brenguier , Michel Campillo , Yves Colin de Verdìère
Geophysical Prospecting, 2008, 56 (3), pp.375 à 393. ⟨10.1111/j.1365-2478.2007.00684.x⟩
Journal articles insu-00333899v1

Singular Bohr-Sommerfeld Rules for 2D Integrable Systems

Yves Colin de Verdière , San Vu Ngoc
Annales Scientifiques de l'École Normale Supérieure, 2003, 36, pp.1-55
Journal articles hal-00020086v1
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The microlocal Landau-Zener formula

Yves Colin de Verdière , Maurice Lombardi , Joël Pollet
Annales de l'Institut Henri Poincare Physique Theorique, 1999, 71 (1), pp.95
Journal articles hal-00961343v1
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Quantum ergodicity and quantum limits for sub-Riemannian Laplacians

Yves Colin de Verdière , Luc Hillairet , Emmanuel Trélat
Séminaire Laurent Schwartz — EDP et applications, 2015, Palaiseau, France
Conference papers hal-01147363v2
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On gravito-inertial surface waves

Yves Colin de Verdìère , Jérémie Vidal
2024
Preprints, Working Papers, ... hal-04461197v1
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The spectrum of the Poincaré operator in an ellipsoid

Yves Colin de Verdìère , Jérémie Vidal
2023
Preprints, Working Papers, ... hal-04085246v1
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Spectral asymptotics for sub-Riemannian Laplacians

Yves Colin de Verdìère , Luc Hillairet , Emmanuel Trélat
2022
Preprints, Working Papers, ... hal-03885610v1
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Periodic geodesics for contact sub-Riemannian 3D manifolds

Yves Colin de Verdìère
2022
Preprints, Working Papers, ... hal-03589895v1
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Large time asymptotics of the wave fronts length II: surfaces with integrable Hamiltonians

Yves Colin de Verdìère
2021
Preprints, Working Papers, ... hal-03097610v1
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Large-time asymptotics of the wave fronts length I The Euclidean disk

Yves Colin de Verdìère , David Vicente
2020
Preprints, Working Papers, ... hal-03009034v2
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Tunneling on graphs: an approach ``à la Helffer-Sjöstrand''

Yves Colin de Verdìère
2018
Preprints, Working Papers, ... hal-01873658v1
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Scattering theory for graphs isomorphic to a homogeneous tree at infinity

Yves Colin de Verdière , Francoise Truc
2013
Preprints, Working Papers, ... hal-00728357v2
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The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface.

Louis Boutet de Monvel , Yves Colin de Verdière
2012
Preprints, Working Papers, ... hal-00734597v1
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A Semi-classical calculus of correlations

Yves Colin de Verdière
2011
Preprints, Working Papers, ... hal-00574470v1
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On the remainder in the Weyl formula for the Euclidean disk

Yves Colin de Verdière
2011
Preprints, Working Papers, ... hal-00585360v2
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Scattering and correlations

Yves Colin de Verdière
2011
Preprints, Working Papers, ... hal-00578746v1
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Singularities of the wave trace near cluster points of the length spectrum

Yves Colin de Verdière , Victor Guillemin , David Jerison
2011
Preprints, Working Papers, ... hal-00551705v1
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The semi-classical spectrum and the Birkhoff normal form

Yves Colin de Verdière
2009
Preprints, Working Papers, ... hal-00361271v1
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An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra

Yves Colin de Verdière
2009
Preprints, Working Papers, ... hal-00362384v1
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Confining quantum particles with a purely magnetic field

Yves Colin de Verdière , Francoise Truc
2009
Preprints, Working Papers, ... hal-00365828v3
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Du problème du toboggan d'Abel au problème inverse semi-classique

Yves Colin de Verdière , Jean-Paul Truc
2009
Preprints, Working Papers, ... hal-00400153v1
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Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell

Yves Colin de Verdière
2009
Preprints, Working Papers, ... hal-00360811v1
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A semi-classical inverse problem I: Taylor expansions.

Yves Colin de Verdière , Victor Guillemin
2008
Preprints, Working Papers, ... hal-00250568v1
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A semi-classical inverse problem II: reconstruction of the potential

Yves Colin de Verdière
2008
Preprints, Working Papers, ... hal-00251590v1
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Bohr-Sommerfeld phases for avoided crossings

Yves Colin de Verdière
2006
Preprints, Working Papers, ... hal-00574571v1