Geodesic
Quantum Limits of Eisenstein Series and Scattering States
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 814-826

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DOI

We identify the quantum limits of scattering states for the modular surface. This is obtained through the study of quantum measures of non-holomorphic Eisenstein series away from the critical line. We provide a range of stability for the quantum unique ergodicity theorem of Luo and Sarnak.
DOI : 10.4153/CMB-2011-200-2
Mots-clés : 11F72, 58G25, 35P25, quantum limits, Eisenstein series, scattering poles 
Petridis, Yiannis N.; Raulf, Nicole; Risager, Morten S. Quantum Limits of Eisenstein Series and Scattering States. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 814-826. doi: 10.4153/CMB-2011-200-2
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     author = {Petridis, Yiannis N. and Raulf, Nicole and Risager, Morten S.},
     title = {Quantum {Limits} of {Eisenstein} {Series} and {Scattering} {States}},
     journal = {Canadian mathematical bulletin},
     pages = {814--826},
     year = {2013},
     volume = {56},
     number = {4},
     doi = {10.4153/CMB-2011-200-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-200-2/}
}
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