4 papers · 1 filter
A weak regularity lemma for polynomials
Guy Moshkovitz, Dora Woodruff
A regularity lemma for polynomials provides a decomposition in terms of a bounded number of approximately independent polynomials. Such regularity lemmas play an important role in…
A generalization of RSK to -complete posets
Son Nguyen, Joseph Vulakh, Dora Woodruff
The hook length formula for -complete posets expresses the number of linear extensions of a -complete poset in terms of hooks of . It generalizes the usual hook length…
Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity
Chau Nguyen, Son Nguyen, Dora Woodruff
We give a new formula for the Littlewood--Richardson coefficients in terms of peelable tableaux compatible with shuffle tableaux, in the same fashion as Remmel--Whitney rule. This…
Single-SEM Schubert Polynomials
Dora Woodruff
We give a pattern-avoidance characterization of such that the Schubert polynomial is a standard elementary monomial. This characterization tells us whi…