activity
20162022
most citedLozenge tilings and the Gaussian free field on a cylinder

7 citations · 10 across the 7 of their papers we have counts for

collaborators

10 papers

math.PR2022

Universality for cokernels of random matrix products

Hoi H. Nguyen, Roger Van Peski

For random integer matrices with independent entries, we study the distribution of the cokernel $\operatorname{cok}(M_1 \cdots…

math.NT2022★ 1 cited

On the moments of one-level densities in families of holomorphic cusp forms in the level aspect

Peter Cohen, Justine Dell, Oscar E. González +10

We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…

math.PR2021

-TASEP with position-dependent slowing

Roger Van Peski

We introduce a new interacting particle system on , \emph{slowed -TASEP}. It may be viewed as a -TASEP with additional position-dependent slowing of jump rates de…

math.CO2021★ 1 cited

Hall-Littlewood polynomials, boundaries, and -adic random matrices

Roger Van Peski

We prove that the boundary of the Hall-Littlewood -deformation of the Gelfand-Tsetlin graph is parametrized by infinite integer signatures, extending results of Gorin and Cuenca…

math.PR2021★ 1 cited

Lyapunov exponents for truncated unitary and Ginibre matrices

Andrew Ahn, Roger Van Peski

In this note, we show that the Lyapunov exponents of mixed products of random truncated Haar unitary and complex Ginibre matrices are asymptotically given by equally spaced `picket…

math.PR2021★ 7 cited

Lozenge tilings and the Gaussian free field on a cylinder

Andrew Ahn, Marianna Russkikh, Roger Van Peski

We use the periodic Schur process, introduced in arXiv:math/0601019v1, to study the random height function of lozenge tilings (equivalently, dimers) on an infinite cylinder distrib…

math.PR2017

Spectral distributions of periodic random matrix ensembles

Roger Van Peski

Koloğlu, Kopp and Miller compute the limiting spectral distribution of a certain class of real random matrix ensembles, known as -block circulant ensembles, and discover that it…

math.CO2017

The bidirectional ballot polytope

Steven J. Miller, Carsten Peterson, Carsten Sprunger +1

A bidirectional ballot sequence (BBS) is a finite binary sequence with the property that every prefix and suffix contains strictly more ones than zeros. BBS's were introduced by Zh…

math-ph2016

Random Matrix Ensembles with Split Limiting Behavior

Paula Burkhardt, Peter Cohen, Jonathan Dewitt +6

We introduce a new family of random real symmetric matrix ensembles, the -checkerboard matrices, whose limiting spectral measure has two components which can be dete…

math.NT2016

On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy

Oscar E. González, Chung Hang Kwan, Steven J. Miller +2

Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for by removing the contribution of the trivial representation to the trace…