Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
From MaRDI portal
Publication:277525
DOI10.4171/JEMS/601zbMath1408.14187arXiv1207.1579OpenAlexW2964311895MaRDI QIDQ277525
Jean-Yves Welschinger, Damien Gayet
Publication date: 2 May 2016
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.1579
random matrixample line bundlerandom polynomialGaussian probability measurerandom real projective manifold
Random matrices (probabilistic aspects) (60B20) Large deviations (60F10) Topology of real algebraic varieties (14P25) Currents (32U40)
Related Items (24)
On the geometry of random lemniscates ⋮ Universal components of random nodal sets ⋮ Bounding the equivariant Betti numbers of symmetric semi-algebraic sets ⋮ Expected number and distribution of critical points of real Lefschetz pencils ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ Points on nodal lines with given direction ⋮ Rare events in random matrix theory ⋮ Limit cycle enumeration in random vector fields ⋮ Variance of the volume of random real algebraic submanifolds II ⋮ Low-degree approximation of random polynomials ⋮ Correlations between zeros and critical points of random analytic functions ⋮ On the number of connected components of random algebraic hypersurfaces ⋮ On the expected Betti numbers of the nodal set of random fields ⋮ Percolation of random nodal lines ⋮ The lemniscate tree of a random polynomial ⋮ Universality of the nodal length of bivariate random trigonometric polynomials ⋮ Probabilistic Schubert calculus ⋮ Real lines on random cubic surfaces ⋮ Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem ⋮ Variance of the volume of random real algebraic submanifolds ⋮ On the topology of random real complete intersections ⋮ Lower estimates for the expected Betti numbers of random real hypersurfaces ⋮ Kac-Rice formula for transverse intersections ⋮ Gap probabilities and Betti numbers of a random intersection of quadrics
This page was built for publication: Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
