• Corpus ID: 244773457

# The skew Brownian permuton: a new universality class for random constrained permutations

@inproceedings{Borga2021TheSB,
title={The skew Brownian permuton: a new universality class for random constrained permutations},
author={Jacopo Borga},
year={2021}
}
• J. Borga
• Published 30 November 2021
• Mathematics
We construct a new family of random permutons, called skew Brownian permuton, which describes the limits of various models of random constrained permutations. This family is parametrized by two real parameters. For a specific choice of the parameters, the skew Brownian permuton coincides with the Baxter permuton, i.e. the permuton limit of Baxter permutations. We prove that for another specific choice of the parameters, the skew Brownian permuton coincides with the biased Brownian separable…
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