Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Specification and towers in shift spaces   We show that a shift space on a finite alphabet with a non-uniform
specification property can be modeled by a strongly positive recurrent
countable-state Markov shift to which every equilibrium state lifts. In
addition to uniqueness of the equilibrium state, this gives strong statistical
properties including the Bernoulli property, exponential decay of correlations,
central limit theorem, and analyticity of pressure, which are new even for
uniform specification. We give applications to shifts of quasi-finite type,
synchronised and coded shifts, and factors of beta-shifts and S-gap shifts.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg