no. 9
Partial differential equations
Quantum ergodicity for Eisenstein functions
[Ergodicité quantique des fonctions d'Eisenstein]

Présenté par : the Editorial Board

Bonthonneau, Yannick1 ; Zelditch, Steve2
1 CIRGET, UQÀM, 201, av. Président-Kennedy, Montréal, Québec, H2X 3Y7, Canada
2 Department of Mathematics, Northwestern University, Evanston, IL 60208, USA
Comptes Rendus. Mathématique, Tome 354 (2016) no. 9, pp. 907-911.

On donne une nouvelle preuve de l'ergodicité quantique des séries d'Eisenstein pour les surfaces de Riemann à pointes. On étend aussi ce résultat en plus grande dimension, en autorisant la courbure variable.

A new proof is given of Quantum Ergodicity for Eisenstein Series for cusped hyperbolic surfaces. This result is also extended to higher dimensional examples, with variable curvature.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.06.006
Bonthonneau, Yannick 1 ; Zelditch, Steve 2

1 CIRGET, UQÀM, 201, av. Président-Kennedy, Montréal, Québec, H2X 3Y7, Canada
2 Department of Mathematics, Northwestern University, Evanston, IL 60208, USA 
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Bonthonneau, Yannick; Zelditch, Steve. Quantum ergodicity for Eisenstein functions. Comptes Rendus. Mathématique, Tome 354 (2016) no. 9, pp. 907-911. doi : 10.1016/j.crma.2016.06.006. http://www.numdam.org/articles/10.1016/j.crma.2016.06.006/

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