Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Character bounds for finite groups of Lie type   We establish new bounds on character values and character ratios for finite
groups $G$ of Lie type, which are considerably stronger than previously known
bounds, and which are best possible in many cases. These bounds have the form
$|\chi(g)| \le \chi(1)^{\alpha_g}$, and give rise to a variety of applications,
for example to covering numbers and mixing times of random walks on such
groups. In particular we deduce that, if $G$ is a classical group in dimension
$n$, then, under some conditions on $G$ and $g \in G$, the mixing time of the
random walk on $G$ with the conjugacy class of $g$ as a generating set is (up
to a small multiplicative constant) $n/s$, where $s$ is the support of $g$.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga