Plancherel random trees have height H_n satisfying H_n / log n converging in probability to an explicit constant c_star(2) characterized variationally via branching random walk.
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Asymptotic height of Plancherel random trees
Plancherel random trees have height H_n satisfying H_n / log n converging in probability to an explicit constant c_star(2) characterized variationally via branching random walk.