Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bottom of the $L^2$ spectrum of the Laplacian on locally symmetric
  spaces   We estimate the bottom of the $L^2$ spectrum of the Laplacian on locally
symmetric spaces in terms of the critical exponents of appropriate Poincar\'e
series. Our main result is the higher rank analog of a characterization due to
Elstrodt, Patterson, Sullivan and Corlette in rank one. It improves upon
previous results obtained by Leuzinger and Weber in higher rank.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
7
The categories of this paper are: hep-th