Record probabilities determine forward stability asymptotics and limiting distributions for Schubert products on uniform and Grassmannian permutations, linear growth plus a Markov sampler for Boolean permutations, and equidistribution on 132- and 231-avoiding classes.
When do Schubert polynomial products stabilize?arXiv preprint arXiv:2412.06976, December
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The record statistic and forward stability of Schubert products
Record probabilities determine forward stability asymptotics and limiting distributions for Schubert products on uniform and Grassmannian permutations, linear growth plus a Markov sampler for Boolean permutations, and equidistribution on 132- and 231-avoiding classes.