19 citations · 19 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…