Rescaled smallest distances between zeros of Gaussian analytic functions converge to a Poisson point process with universal rate, yielding the limiting density x^{4k-1} e^{-x^4} for the k-th smallest distance.
Tian, On a set of polarized K¨ ahler metrics on algebraic manifolds, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Smallest distances between zeros of Gaussian analytic functions
Rescaled smallest distances between zeros of Gaussian analytic functions converge to a Poisson point process with universal rate, yielding the limiting density x^{4k-1} e^{-x^4} for the k-th smallest distance.