21 citations · 45 across the 10 of their papers we have counts for
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math.PR2021★ 4 cited
Landscape complexity beyond invariance and the elastic manifold
Gérard Ben Arous, Paul Bourgade, Benjamin McKenna
This paper characterizes the annealed, topological complexity (both of total critical points and of local minima) of the elastic manifold. This classical model of a disordered elas…
math.PR2021★ 3 cited
Complexity of bipartite spherical spin glasses
Benjamin McKenna
This paper characterizes the annealed complexity of bipartite spherical spin glasses, both pure and mixed. This means we give exact variational formulas for the asymptotics of the…
math.PR2021★ 21 cited
Exponential growth of random determinants beyond invariance
Gérard Ben Arous, Paul Bourgade, Benjamin McKenna
We give simple criteria to identify the exponential order of magnitude of the absolute value of the determinant for wide classes of random matrix models, not requiring the assumpti…