Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random soups, carpets and fractal dimensions   We study some properties of a class of random connected planar fractal sets
induced by a Poissonian scale-invariant and translation-invariant point
process. Using the second-moment method, we show that their Hausdorff
dimensions are deterministic and equal to their expectation dimension. We also
estimate their low-intensity limiting behavior. This applies in particular to
the "conformal loop ensembles" defined via Poissonian clouds of Brownian loops
for which the expectation dimension has been computed by Schramm, Sheffield and
Wilson.

0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg