activity
20062014
most citedEdge scaling limits for a family of non-Hermitian random matrix ensembles

43 citations · 85 across the 6 of their papers we have counts for

collaborators

6 papers

math.AG2014★ 4 cited

Singularities of closures of spherical -conjugacy classes of nilpotent orbits

Martin Bender, Nicolas Perrin

We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height in its conjugacy class is normal and admits a rational resol…

math.AG2013

On singularities in B-orbit closures of 2-nilpotent matrices

Martin Bender

This paper deals with singularities of closures of -nilpotent Borel conjugacy classes in either a -conjugacy class or in the nilpotent cone of . In the…

math-ph2010★ 17 cited

Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles

Gernot Akemann, Martin Bender

We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of…

math.AG2009★ 21 cited

Crepant resolutions and brane tilings II: Tilting bundles

Martin Bender, Sergey Mozgovoy

Given a brane tiling, that is, a bipartite graph on a torus, we can associate with it a singular 3-Calabi-Yau variety. Using the brane tiling, we can also construct all crepant res…

math.PR2008★ 43 cited

Edge scaling limits for a family of non-Hermitian random matrix ensembles

Martin Bender

A family of random matrix ensembles interpolating between the GUE and the Ginibre ensemble of matrices with iid centered complex Gaussian entries is considered. The asy…

math.PR2006

Global Fluctuations in General Beta Dyson Brownian Motion

Martin Bender

We consider a system of diffusing particles on the real line in a quadratic external potential and with repulsive electrostatic interaction. The empirical measure process is known…