Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Substitutions, tiling dynamical systems and minimal self-joinings   We investigate substitution subshifts and tiling dynamical systems arising
from the substitutions (1) \theta : 0 \rightarrow 001,1 \rightarrow 11001 and
(2) \eta : 0 \rightarrow 001,1 \rightarrow 11100. We show that the substitution
subshifts arising from \theta and \eta have minimal self-joinings and are
mildly mixing. We also give a criterion for 1-dimensional tiling systems
arising from \theta or \eta to have minimal self-joinings. We apply this to
obtain examples of mildly mixing 1-dimensional tiling systems.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg