Statistics on Hilbert's 16th Problem
From MaRDI portal
Publication:5500430
DOI10.1093/imrn/rnu069zbMath1396.14049arXiv1212.3823OpenAlexW2321991156MaRDI QIDQ5500430
Erik Lundberg, Antonio Lerario
Publication date: 6 August 2015
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.3823
volumeconnected componentsinvariant measuresprojective spacespherical harmonicsexpectationsintegral geometryCourant nodal domain theoremrandom zero setsFubini Study ensemble
Geometric probability and stochastic geometry (60D05) Real algebraic sets (14P05) Spherical harmonics (33C55) Topology of real algebraic varieties (14P25)
Related Items (17)
Equidistribution of the conormal cycle of random nodal sets ⋮ On the geometry of random lemniscates ⋮ Universal components of random nodal sets ⋮ Expected number and distribution of critical points of real Lefschetz pencils ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ The Gauss-Bonnet-Chern theorem: A probabilistic perspective ⋮ Limit cycle enumeration in random vector fields ⋮ Low-degree approximation of random polynomials ⋮ Sixty-Four Curves of Degree Six ⋮ Effective bounds for monochromatic connectivity measures in two dimensions ⋮ The lemniscate tree of a random polynomial ⋮ Real lines on random cubic surfaces ⋮ Random matrices and the average topology of the intersection of two quadrics ⋮ Unnamed Item ⋮ Expected volume and Euler characteristic of random submanifolds ⋮ Kac-Rice formula for transverse intersections ⋮ Gap probabilities and Betti numbers of a random intersection of quadrics
This page was built for publication: Statistics on Hilbert's 16th Problem
