2 papers
math.CV2024
Semipositive line bundles on punctured Riemann surfaces: Bergman kernels and random zeros
Bingxiao Liu, Dominik Zielinski
We give an extensive study on the Bergman kernel expansions and the random zeros associated with the high tensor powers of a semipositive line bundle on a complete punctured Rieman…
math.CV2024
Toeplitz operators and zeros of square-integrable random holomorphic sections
Alexander Drewitz, Bingxiao Liu, George Marinescu
We use the theory of abstract Wiener spaces to construct a probabilistic model for Berezin-Toeplitz quantization on a complete Hermitian complex manifold endowed with a positive li…