Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutations with fixed pattern densities   We study scaling limits of random permutations ("permutons") constrained by
having fixed densities of a finite number of patterns. We show that the limit
shapes are determined by maximizing entropy over permutons with those
constraints. In particular, we compute (exactly or numerically) the limit
shapes with fixed \hbox{12} density, with fixed \hbox{12} and \hbox{123}
densities, with fixed \hbox{12} density and the sum of \hbox{123} and
\hbox{213} densities, and with fixed \hbox{123} and \hbox{321} densities. In
the last case we explore a particular phase transition. To obtain our results,
we also provide a description of permutons using a dynamic construction.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc