Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the multifractal spectrum of weighted Birkhoff averages   In this paper, we study the topological spectrum of weighted Birkhoff
averages over aperiodic and irreducible subshifts of finite type. We show that
for a uniformly continuous family of potentials, the spectrum is continuous and
concave over its domain. In case of typical weights with respect to some
ergodic quasi-Bernoulli measure, we determine the spectrum. Moreover, in case
of full shift and under the assumption that the potentials depend only on the
first coordinate, we show that our result is applicable for regular weights,
like M\"obius sequence.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci