Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The multifractal spectrum of Brownian intersection local times   Let \ell be the projected intersection local time of two independent Brownian
paths in R^d for d=2,3. We determine the lower tail of the random variable
\ell(U), where U is the unit ball. The answer is given in terms of intersection
exponents, which are explicitly known in the case of planar Brownian motion. We
use this result to obtain the multifractal spectrum, or spectrum of thin
points, for the intersection local times.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc