Luo and Sarnak proved a quantum unique ergodicity theorem for the non-holomorphic Eisenstein series $E(z, 1/2+it)$ for $SL_2(Z)$. We will discuss the dependence of their result on the spectral parameter. This is joint work with Y. Petridis and M. Risager.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246