Comptes Rendus
no. 9
Partial differential equations
Quantum ergodicity for Eisenstein functions

Presented by: the Editorial Board

Yannick Bonthonneau1; Steve Zelditch2
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, Volume 354 (2016) no. 9, pp. 907-911.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.06.006

Yannick Bonthonneau 1; Steve Zelditch 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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Yannick Bonthonneau; Steve Zelditch. Quantum ergodicity for Eisenstein functions. Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 907-911. doi : 10.1016/j.crma.2016.06.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.06.006/

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