For permutations sampled from the Brownian separable permuton, LIS(σ_n)/n^{α(p)} converges almost surely to a positive finite random variable, and α(p) is the explicit solution of a Gamma-function equation.
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The longest increasing subsequence of Brownian separable permutons
For permutations sampled from the Brownian separable permuton, LIS(σ_n)/n^{α(p)} converges almost surely to a positive finite random variable, and α(p) is the explicit solution of a Gamma-function equation.