Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts,
  and their factors   We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be
intrinsically ergodic, along with sufficient conditions for every subshift
factor of $\Sigma$ to be intrinsically ergodic. As an application, we show that
every subshift factor of a $\beta$-shift is intrinsically ergodic, which
answers an open question included in Mike Boyle's article "Open problems in
symbolic dynamics". We obtain the same result for $S$-gap shifts, and describe
an application of our conditions to more general coded systems. One novelty of
our approach is the introduction of a new version of the specification property
that is well adapted to the study of symbolic spaces with a non-uniform
structure.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin