Publications [#243920] of Ezra Miller

Papers Published

1. Miller, E, Mitosis recursion for coefficients of Schubert polynomials, Journal of Combinatorial Theory Series A, vol. 103 no. 2 (January, 2003), pp. 223-235, Elsevier BV [MR2004i:05157], [math.CO/0212131], [doi]
   (last updated on 2026/01/14)

   Abstract:
   Mitosis is a rule introduced by Knutson and Miller for manipulating subsets of the n × n grid. It provides an algorithm that lists the reduced pipe dreams (also known as rc-graphs) of Fomin and Kirillov for a permutation w ∈ Sn by downward induction on weak Bruhat order, thereby generating the coefficients of Schubert polynomials of Lascoux and Schützenberger inductively. This note provides a short and purely combinatorial proof of these properties of mitosis. © 2003 Published by Elsevier Inc.