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math.CO2026
The record statistic and forward stability of Schubert products
Andrew Hardt, Reuven Hodges, Hanzhang Yin
We initiate a probabilistic study of forward stability for products of Schubert polynomials through the record statistic (left-to-right maxima) of permutations. Building on the exp…
math.CO2025
When do Schubert polynomial products stabilize?
Andrew Hardt, David Wallach
The "back-stabilization number" for products of Schubert polynomials is the distance the corresponding permutations must be shifted before the structure constants stabilize. We giv…
math.CO2025
Stability of products of double Grothendieck polynomials
Andrew Hardt, David Wallach
We prove that products of double Grothendieck polynomials have the same back- and forward-stability numbers as products of Schubert polynomials, characterize which simple reflectio…