84 citations · 187 across the 10 of their papers we have counts for
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3 papers · 1 filter
math.CO2005★ 1 cited
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…
math-ph2005★ 84 cited
On the averages of characteristic polynomials from classical groups
Daniel Bump, Alex Gamburd
We provide an elementary and self-contained derivation of formulae for products and ratios of characteristic polynomials from classical groups using classical results due to Weyl a…
math.PR2005★ 32 cited
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 `…