K. Eum

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math.CV2025

Limiting behavior of determinantal point processes associated with weighted Bergman kernels

Kiyoon Eum

Let $I^c ◯$ be a bounded pseudoconvex domain in $C^{n}$ , and let $I ¨ $ be a strictly plurisubharmonic function on $I^c ◯$ . For each $k \in N$ , we consider determinantal poin…

math.CV2025

Approximation of plurisubharmonic functions by logarithms of Gaussian analytic functions

Kiyoon Eum

Let $I^c ◯$ be a bounded pseudoconvex domain in $C^{N}$ . Given a continuous plurisubharmonic function $u$ on $I^c ◯$ , we construct a sequence of Gaussian analytic functions $f_{n}$ …