The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
Bergman kernels on punctured riemann surfaces.Mathematische Annalen, 379(3):951–1002, April 2021
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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.