Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric functionals of fractal percolation. II. Almost sure
  convergence and second moments   We determine almost sure limits of rescaled intrinsic volumes of the
construction steps of fractal percolation in $\mathbb{R}^d$ for any dimension
$d\geq 1$. We observe a factorization of these limit variables which allows, in
particular, to determine their expectations and covariance structure. We also
show convergence of rescaled expectations and variances of the intrinsic
volumes of the construction steps to expectations and variances of the limit
variables and give rates for this convergence in some cases.

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The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc