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math.CV2026
Monte Carlo methods on compact complex manifolds using Bergman kernels
Thibaut Lemoine, Rémi Bardenet
In this paper, we propose a new randomized method for numerical integration on a compact complex manifold with respect to a continuous volume form. Taking for quadrature nodes a su…
math.CV2026
Determinantal point processes on complex manifolds: Construction and limit theorems
Thibaut Lemoine
We develop a coordinate-free probabilistic framework for determinantal point processes associated with Bergman kernels on compact complex manifolds. The basic issue is that Bergman…