Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Typical Borel measures on $[0,1]d$ satisfy a multifractal formalism   In this article, we prove that in the Baire category sense, measures
supported by the unit cube of $\R^d$ typically satisfy a multifractal
formalism. To achieve this, we compute explicitly the multifractal spectrum of
such typical measures $\mu$. This spectrum appears to be linear with slope 1,
starting from 0 at exponent 0, ending at dimension $d$ at exponent $d$, and it
indeed coincides with the Legendre transform of the $L^q$-spectrum associated
with typical measures $\mu$.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex