The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
Szego kernels and a theorem of Tian.International Mathematics Research Notices, 6(6):317–331
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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.