Equidistribution of eigenvalues and semi-classical ergodicity of quantized symplectomorphisms of the torus;Équidistribution des valeurs propres et ergodicité semi-classique de symplectomorphismes du tore quantifiés

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 8, 1998, Pages 1021-1024

  Bouzouina, Abdelkader ^a   De Bièvre, Stephan ^b  

^a UNIVERSITÉ DE NANTES   (France)

^b UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032039822     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80134-1     Document Type: Article

References (5)

1. [1] Bouzouina A., Comportement semi-classique de symplectomorphismes du tore quantifiés, Thèse de l'Université Paris-Dauphine, 1997.
2. [2] Bouzouina A., De Bièvre S., Equipartition of the eigenfunctions of quantized ergodic maps on the torus, Commun. Math. Phys. 178 (1996) 83-105.
3. [3] Bouzouina A., De Bièvre S., Semi-classical behavior of quantized hyperbolic automorphisms and of their quantized hamiltonian perturbations, (en préparation).
4. [4] Combescure M., Robert D., Semiclassical spreading of quantum wave packets and applications near unstable fixed points of the classical flow, Asymp. Anal. 14 (1997) 377-404.
5. [5] Zelditch S., Index and dynamics of quantized contact transformations, Ann. Inst. Fourier 47 (1) (1997) 305-363.