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arXiv · 1111.6615

Quantum Limits of Eisenstein Series and Scattering states

Yiannis N. Petridis·Nicole Raulf·Morten S. Risager
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Abstract

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.

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Yiannis N. Petridis, Nicole Raulf, Morten S. Risager. 2011-11-28. Quantum Limits of Eisenstein Series and Scattering states. https://doi.org/10.4153/cmb-2011-200-2

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