26 citations · 87 across the 46 of their papers we have counts for
5 papers · 1 filter
A new -Selberg integral, Schur functions, and Young books
Jang Soo Kim, Soichi Okada
Recently, Kim and Oh expressed the Selberg integral in terms of the number of Young books which are a generalization of standard Young tableaux of shifted staircase shape. In this…
Generalized Dyck tilings
Matthieu Josuat-Vergès, Jang Soo Kim
Recently, Kenyon and Wilson introduced Dyck tilings, which are certain tilings of the region between two Dyck paths. The enumeration of Dyck tilings is related with hook formulas f…
The Selberg integral and Young books
Jang Soo Kim, Suho Oh
The Selberg integral is an important integral first evaluated by Selberg in 1944. Stanley found a combinatorial interpretation of the Selberg integral in terms of permutations. In…
Proof of a conjecture of Meszaros and Morales on the volume of a flow polytope
Jang Soo Kim
We prove a conjecture of Meszaros and Morales on the volume of a flow polytope. Independently from our work, Zeilberger sketched a proof of their conjecture. In fact, our proof is…
Bootstrapping and Askey-Wilson polynomials
Jang Soo Kim, Dennis Stanton
The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coefficients. A similar bootstrapping idea on generating functions gives a…