Gabriel Rivière
Version française

Maître de Conférences
Laboratoire Paul Painlevé (U.M.R. CNRS 8524)
UFR de Mathématiques
Université de Lille 1
59 655 Villeneuve d'Ascq Cédex
France
Bâtiment M3, Bureau 222
Tel: 00 33 (0)3 20 43 67 38
Courriel: gabriel.riviere(the symbol)math.univ-lille1.fr

Research
  1. Entropy of semiclassical measures in dimension 2 (preprint;  final version in Duke Math. J., Vol. 155, N° 2 (2010), 271-335, see here).
  2. Entropy of semiclassical measures for nonpositively curved surfaces (preprint; final version in Annales Henri Poincaré, Vol. 11, N°6 (2010), 1085-1116, AHP Distinguished Paper, see here).
  3. Entropy of semiclassical measures for symplectic linear maps of the multidimensional torus (preprint; final version in Int. Math. Res. Notices, Vol. 2011, N°11 (2011), 2396-2443 see here).
  4. Dispersion and controllability for the Schrödinger equation on negatively curved manifolds , with N. Anantharaman (pdf, to appear in Analysis and PDE).
  5. Delocalization of slowly damped eigenmodes on Anosov manifolds , (pdf, to appear in Comm. in Math. Phys.).
  6. Eigenmodes of the damped wave equation and small hyperbolic subsets, with an appendix in collaboration with S. Nonnenmacher (pdf).
  1. Entropy of semiclassical measures for quantized cat-maps (pdf, simplified version in the case d=1 of the article `Entropy of semiclassical measures for symplectic linear maps of the multidimensional torus').
  2. Communications: Text for the Actes du séminaire X-EDP (12/15/2009, Palaiseau, in french); Text for the Actes des 37èmes Journées EDP (06/08/2010, Port d'Albret, in english).

Teaching
CV (march 2012, in french)