20 citations · 45 across the 9 of their papers we have counts for
4 papers · 1 filter
Difference operators for partitions under the Littlewood decomposition
Paul-Olivier Dehaye, Guo-Niu Han, Huan Xiong
The concept of -difference operator for functions of partitions is introduced to prove a generalization of Stanley's theorem on polynomiality of Plancherel averages of symmetric…
Integrality of hook ratios
Paul-Olivier Dehaye
We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prov…
A multiset hook length formula and some applications
Paul-Olivier Dehaye, Guo-Niu Han
A multiset hook length formula for integer partitions is established by using combinatorial manipulation. As special cases, we rederive three hook length formulas, two of them obta…
On an identity due to ((Bump and Diaconis) and (Tracy and Widom))
Paul-Olivier Dehaye
A classical question for a Toeplitz matrix with given symbol is to compute asymptotics for the determinants of its reductions to finite rank. One can also consider how those asympt…