Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations principle for the largest eigenvalue of Wigner matrices
  without Gaussian tails   We prove a large deviation principle for the largest eigenvalue of Wigner
matrices without Gaussian tails, namely such that the distribution tails
$\mathbb{P}( |X_{1,1}|>t)$ and $\mathbb{P}(|X_{1,2}|>t)$ behave like
$e^{-bt^{\alpha}}$ and $e^{-at^{\alpha}}$ respectively for some $a,b\in
(0,+\infty)$ and $\alpha\in (0,2)$. The large deviation principle is of speed
$N^{\alpha/2}$ and with a good rate function depending only on the tail
distribution of the entries.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas