Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central limit theorem for the heat kernel measure on the unitary group   We prove that for a finite collection of real-valued functions
$f_{1},...,f_{n}$ on the group of complex numbers of modulus 1 which are
derivable with Lipschitz continuous derivative, the distribution of $(\tr
f_{1},...,\tr f_{n})$ under the properly scaled heat kernel measure at a given
time on the unitary group $\U(N)$ has Gaussian fluctuations as $N$ tends to
infinity, with a covariance for which we give a formula and which is of order
$N^{-1}$. In the limit where the time tends to infinity, we prove that this
covariance converges to that obtained by P. Diaconis and S. Evans in a previous
work on uniformly distributed unitary matrices. Finally, we discuss some
combinatorial aspects of our results.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex