32 citations · 34 across the 3 of their papers we have counts for
4 papers
Counting formulas associated with some random matrix averages
Peter J. Forrester, Alex Gamburd
Moments of secular and inverse secular coefficients, averaged over random matrices from classical groups, are related to the enumeration of non-negative matrices with prescribed ro…
Poisson--Dirichlet distribution for random Belyi surfaces
Alex Gamburd
Brooks and Makover introduced an approach to studying the global geometric quantities (in particular, the first eigenvalue of the Laplacian, injectivity radius and diameter) of a `…
Pseudomoments of the Riemann zeta-function and pseudomagic squares
Brian Conrey, Alex Gamburd
We compute integral moments of partial sums of the Riemann zeta function on the critical line and obtain an expression for the leading coefficient as a product of the standard arit…
On the Genus of a Random Riemann Surface
Alexander Gamburd, Eran Makover
Brooks and Makover introduced an approach to random Riemann surfaces based on associating a dense set of them - Belyi surfaces - with random cubic graphs. In this paper, using Boll…