Overcrowding and hole probabilities for random zeros on complex manifolds

DOI10.1512/iumj.2008.57.3700zbMath1169.32002arXiv0805.2598OpenAlexW2963522790MaRDI QIDQ3596776

Bernard Shiffman, Scott Zrebiec, Steven Zelditch

Publication date: 9 February 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2598

zbMATH Keywords

Kähler manifoldGaussian random variableslarge deviations estimate

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Diffusion processes and stochastic analysis on manifolds (58J65) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Zero sets of holomorphic functions of several complex variables (32A60) Holomorphic functions of several complex variables (32A99)

Related Items (11)

Gaussian analytic functions in the polydisk ⋮ Hole probability for nodal sets of the cut-off Gaussian free field ⋮ Counting zeros of holomorphic functions of exponential growth ⋮ Gaussian analytic functions in the unit ball ⋮ Critical points of random branched coverings of the Riemann sphere ⋮ Exponential rarefaction of real curves with many components ⋮ Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights ⋮ Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields ⋮ Mean of zero currents of sections of vector bundles ⋮ Variance of the volume of random real algebraic submanifolds ⋮ Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds

This page was built for publication: Overcrowding and hole probabilities for random zeros on complex manifolds