Affiliations

Number of documents

30

Yves Colin de Verdière



Journal articles13 documents

  • Yves Colin de Verdìère. Spectral theory of pseudo-differential operators of degree 0 and application to forced linear waves. Analysis and PDEs, In press. ⟨hal-01761011v2⟩
  • Yves Colin de Verdìère, Francoise Truc. Topological Resonances on Quantum Graphs. Annales Henri Poincaré, Springer Verlag, In press. ⟨hal-01298494v2⟩
  • Yves Colin de Verdìère, Laure Saint-Raymond, Yves Colin Deverdì. Attractors for two dimensional waves with homogeneous Hamiltonians of degree 0. Communications on Pure and Applied Mathematics, Wiley, In press. ⟨hal-01685278v3⟩
  • Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat. Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3D contact case.. Duke Mathematical Journal, Duke University Press, 2018, 167 (1), pp.109--174. ⟨hal-01144257v4⟩
  • Yves Colin de Verdière. Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold. Annales Henri Poincaré, Springer Verlag, 2015, 16 (2), pp.347-364. ⟨hal-00907569v2⟩
  • Yves Colin de Verdìère. The semi-classical ergodic theorem for discontinuous metrics. . Actes du Séminaire de Théorie Spectrale et Géométrie (Grenoble), 2014, 31, pp.71-89. ⟨hal-01634895⟩
  • Yves Colin de Verdière. Magnetic interpretation of the nodal defect on graphs. Analysis & Partial Differential Equations, 2013, 6 (5), pp.1235--1242. ⟨10.2140/apde.2013.6.1235⟩. ⟨hal-00656768v2⟩
  • Yves Colin de Verdière. Semi-classical trace formulas and heat expansions. Analysis and Partial Differential Equations, 2012, 5 (3), pp.693--703. ⟨10.2140/apde.2012.5.693⟩. ⟨hal-00578731v4⟩
  • Yves Colin de Verdière, Nabila Torki-Hamza, Francoise Truc. Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs. Mathematical Physics Analysis and Geometry, 2011, 14 (1), pp.21-38. ⟨10.1007/s11040-010-9086-7⟩. ⟨hal-00496165v3⟩
  • Yves Colin de Verdière, Nabila Torki-Hamza, Francoise Truc. Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields. Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2011, 20 (3), pp.597-609. ⟨hal-00541062⟩
  • Yves Colin de Verdière. Semi-classical analysis and passive imaging. Nonlinearity, IOP Publishing, 2009, 22, pp.R45-R75. ⟨hal-00264373v3⟩
  • Yves Colin de Verdière, San Vu Ngoc. Singular Bohr-Sommerfeld Rules for 2D Integrable Systems. Annales Scientifiques de l'École Normale Supérieure, Elsevier Masson, 2003, 36, pp.1-55. ⟨hal-00020086⟩
  • Yves Colin de Verdière, Maurice Lombardi, Joël Pollet. The microlocal Landau-Zener formula. Annales de l'institut Henri Poincaré (A) Physique théorique, 1999, 71 (1), pp.95. ⟨hal-00961343⟩

Conference papers1 document

  • Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat. Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Séminaire Laurent Schwartz — EDP et applications, 2015, Palaiseau, France. ⟨hal-01147363v2⟩

Preprints, Working Papers, ...15 documents

  • Yves Colin de Verdìère. Tunneling on graphs: an approach ``à la Helffer-Sjöstrand''. 2018. ⟨hal-01873658⟩
  • Yves Colin de Verdière, Francoise Truc. Scattering theory for graphs isomorphic to a homogeneous tree at infinity. 2013. ⟨hal-00728357v2⟩
  • Louis Boutet de Monvel, Yves Colin de Verdière. The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface.. 2012. ⟨hal-00734597⟩
  • Yves Colin de Verdière, Victor Guillemin, David Jerison. Singularities of the wave trace near cluster points of the length spectrum. 2011. ⟨hal-00551705⟩
  • Yves Colin de Verdière. A Semi-classical calculus of correlations. 2011. ⟨hal-00574470⟩
  • Yves Colin de Verdière. Scattering and correlations. 2011. ⟨hal-00578746⟩
  • Yves Colin de Verdière. On the remainder in the Weyl formula for the Euclidean disk. 2011. ⟨hal-00585360v2⟩
  • Yves Colin de Verdière, Jean-Paul Truc. Du problème du toboggan d'Abel au problème inverse semi-classique. 2009. ⟨hal-00400153⟩
  • Yves Colin de Verdière. The semi-classical spectrum and the Birkhoff normal form. 2009. ⟨hal-00361271⟩
  • Yves Colin de Verdière. An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra. 2009. ⟨hal-00362384⟩
  • Yves Colin de Verdière. Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell. 2009. ⟨hal-00360811⟩
  • Yves Colin de Verdière, Francoise Truc. Confining quantum particles with a purely magnetic field. 2009. ⟨hal-00365828v3⟩
  • Yves Colin de Verdière, Victor Guillemin. A semi-classical inverse problem I: Taylor expansions.. 2008. ⟨hal-00250568⟩
  • Yves Colin de Verdière. A semi-classical inverse problem II: reconstruction of the potential. 2008. ⟨hal-00251590⟩
  • Yves Colin de Verdière. Bohr-Sommerfeld phases for avoided crossings. 2006. ⟨hal-00574571⟩

Videos1 document

  • Bernard Malgrange, Yves Colin de Verdìère, Liane Valère, Raoul Robert, Patrick Witomski, et al.. Interventions courtes - les anciens partagent leurs souvenirs : 50 ans du bâtiment Institut Fourier 2016. 2016. ⟨medihal-01412043⟩