Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum ergodicity for Eisenstein series on hyperbolic surfaces of large
  genus   We give a quantitative estimate for the quantum variance on hyperbolic
surfaces in terms of geometric parameters such as the genus, number of cusps
and injectivity radius. It implies a delocalisation result of quantum
ergodicity type for eigenfunctions of the Laplacian on hyperbolic surfaces of
finite area that Benjamini-Schramm converge to the hyperbolic plane. We show
that this is generic for Mirzakhani's model of random surfaces chosen uniformly
with respect to the Weil-Petersson volume. Depending on the particular sequence
of surfaces considered this gives a result of delocalisation of most cusp forms
or Eisenstein series.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat