We study asymptotics of an irreducible representation of the symmetric group Sn corresponding to a balanced Young diagram Î» (a Young diagram with at most O( âˆš n) rows and columns) in the limit as nâ€¦ (More)

A non-crossing pairing on a bitstring matches 1s and 0s in a manner such that the pairing diagram is nonintersecting. By considering such pairings on arbitrary bitstrings 1101 . . . 1r0r , weâ€¦ (More)

In Stanley [16], the author introduces expressions for the normalized characters of the symmetric group and states some positivity conjectures for these expressions. Here, we give an affirmativeâ€¦ (More)

In Stanley [8], the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of the polynomials are positive. In [9], the same author gives aâ€¦ (More)