Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifractal spectra of Moran measures without local dimension   A measure without local dimension is a measure such that local dimension does
not exist for any point in its support. In this paper, we construct such a
class of Moran measures and study their lower and upper local dimensions. We
show that the related "free energy" function ($L^q$-spectrum) does not exist.
Nevertheless, we can obtain the full Hausdroff and packing dimension spectra
for level sets defined by lower and upper local dimensions. They can be viewed
as a generalized multifractal formalism.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph