Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slicing the Sierpi\'nski gasket   We investigate the dimension of intersections of the Sierpi\'nski gasket with
lines. Our first main result describes a countable, dense set of angles that
are exceptional for Marstrand's theorem. We then provide a multifractal
analysis for the set of points in the projection for which the associated slice
has a prescribed dimension.

1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin