Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projections of random covering sets   We show that, almost surely, the Hausdorff dimension $s_0$ of a random
covering set is preserved under all orthogonal projections to linear subspaces
with dimension $k>s_0$. The result holds for random covering sets with a
generating sequence of ball-like sets, and is obtained by investigating
orthogonal projections of a class of random Cantor sets.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th