Unit ball volumes in H^0(X, L^n) approach the equilibrium energy at a determined rate, with Fekete measures converging to the equilibrium measure at a corresponding speed.
The Bergman kernel and a theorem of Tian
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The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
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Growth rate of balls of holomorphic sections on compact Riemann surfaces
Unit ball volumes in H^0(X, L^n) approach the equilibrium energy at a determined rate, with Fekete measures converging to the equilibrium measure at a corresponding speed.
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On the Bergman Kernel of complex hyperbolic manifolds
The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.