Geodesic
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.

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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.

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.

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://geodesic.mathdoc.fr/articles/10.1016/j.crma.2016.06.006/

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