19 citations · 19 across the 7 of their papers we have counts for
7 papers
Eigenvalues of -adic random matrices
Jiahe Shen, Roger Van Peski
We develop the basic theory of eigenvalues of -adic random matrices, analogous to the classical theory for random matrices over and . Such eigenvalue st…
The Gamma-disordered Aztec diamond
Maurice Duits, Roger Van Peski
We introduce a multi-parameter family of random edge weights on the Aztec diamond graph, given by certain Gamma variables, and prove several results about the corresponding random…
Groups with pairings, Hall modules, and Hall-Littlewood polynomials
Jiahe Shen, Roger Van Peski
We relate the combinatorics of Hall-Littlewood polynomials to that of abelian -groups with alternating or Hermitian perfect pairings. Our main result is an analogue of the class…
Non-Archimedean GUE corners and Hecke modules
Jiahe Shen, Roger Van Peski
We compute the joint distribution of singular numbers for all principal corners of a -adic Hermitian (resp. alternating) matrix with additive Haar distribution, the non-archimed…
The rank of a random triangular matrix over
Roger Van Peski
We consider uniformly random strictly upper-triangular matrices in . For such a matrix , we show that $n-\operatorname{rank}(A_n) \approx \…
Limits and fluctuations of -adic random matrix products
Roger Van Peski
We show that singular numbers (also known as invariant factors or Smith normal forms) of products and corners of random matrices over are governed by the Hall-Little…
A Generalization of Tokuyama's Formula to the Hall-Littlewood Polynomials
Vineet Gupta, Uma Roy, Roger Van Peski
A theorem due to Tokuyama expresses Schur polynomials in terms of Gelfand-Tsetlin patterns, providing a deformation of the Weyl character formula and two other classical results, S…