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math.PR2011
Random Riesz energies on compact Kähler manifolds
Renjie Feng, Steve Zelditch
This article determines the asymptotics of the expected Riesz s-energy of the zero set of a Gaussian random systems of polynomials of degree N as the degree N tends to infinity in…
math.AP2011
Periodic solutions of Abreu's equation
Renjie Feng, Gábor Székelyhidi
We solve Abreu's equation with periodic right hand side, in any dimension. This can be interpreted as prescribing the scalar curvature of a torus invariant metric on an Abelian var…