Correlations between zeros and critical points of random analytic functions

DOI10.1090/tran/7322zbMath1484.32040arXiv1604.07693OpenAlexW2964192277MaRDI QIDQ4633587

Renjie Feng

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07693

zbMATH Keywords

zeroscritical pointsrandom analytic functions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Kähler manifolds (32Q15)

Related Items

Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge ⋮ Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields ⋮ Local maxima of white noise spectrograms and Gaussian entire functions

Cites Work

• Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
• Scaled correlations of critical points of random sections on Riemann surfaces
• Critical points and supersymmetric vacua. I
• On a set of polarized Kähler metrics on algebraic manifolds
• Universality and scaling of correlations between zeros on complex manifolds
• Pairing of zeros and critical points for random meromorphic functions on Riemann surfaces
• Pairing of zeros and critical points for random polynomials
• What is the total Betti number of a random real hypersurface?
• Critical points and supersymmetric vacua. II: Asymptotics and extremal metrics
• EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS
• Conditional Expectations of Random Holomorphic Fields on Riemann Surfaces
• Correlations and Pairing between Zeros and Critical Points of Gaussian Random Polynomials
• Random Fields and Geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item