10 citations · 10 across the 5 of their papers we have counts for
5 papers
Sandpile groups of random bipartite graphs and families of distributions with the same moments
Jason Fulman, Nathan Kaplan, Deepesh Singhal +1
Recently, there has been significant interest in applying the method of moments developed by Wood and others to study distributions of finite abelian groups that arise in number th…
Affine Jacobi-Trudi Identities and -Rogers-Ramanujan Identities
S. Ole Warnaar
We conjecture affine or Hall-Littlewood analogues of the dual Jacobi-Trudi identities for orthogonal and symplectic Schur functions indexed by rectangular partitions of maximal hei…
-rious unimodality
S. Ole Warnaar, Wadim Zudilin
We generalise our still-wide-open -rious positivity conjecture from 2011 to a -rious unimodality conjecture.
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
Shashank Kanade, Matthew C. Russell, Shunsuke Tsuchioka +1
In a series of two papers, S. Capparelli, A. Meurman, A. Primc, M. Primc (CMPP) and then M. Primc put forth three remarkable sets of conjectures, stating that the generating functi…
A Nekrasov-Okounkov formula for Macdonald polynomials
Eric M. Rains, S. Ole Warnaar
We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of…