scientific article; zbMATH DE number 503393
From MaRDI portal
Publication:4279732
zbMath0788.60069MaRDI QIDQ4279732
Publication date: 1 June 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kac-Rice formulaexpected volumeroot-finding algorithmsasymptotic formula for the expected number of real zerosreal roots of polynomials with random coefficients
Related Items (59)
Equidistribution of the conormal cycle of random nodal sets ⋮ Level crossing in random matrices. II. Random perturbation of a random matrix ⋮ The Kostlan-Shub-Smale random polynomials in the case of growing number of variables ⋮ Central limit theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems ⋮ The geometry of ill-conditioning ⋮ On the expected number of equilibria in a multi-player multi-strategy evolutionary game ⋮ Analysis of the expected density of internal equilibria in random evolutionary multi-player multi-strategy games ⋮ Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ Smoothed analysis of complex conic condition numbers ⋮ Expected number and distribution of critical points of real Lefschetz pencils ⋮ High probability analysis of the condition number of sparse polynomial systems ⋮ Statistical complexity of the power method for Markov chains ⋮ RANDOM REAL BRANCHED COVERINGS OF THE PROJECTIVE LINE ⋮ How many zeros of a random polynomial are real? ⋮ Probabilistic enumerative geometry over \(p\)-adic numbers: linear spaces on complete intersections ⋮ Limit cycle enumeration in random vector fields ⋮ The forbidden region for random zeros: Appearance of quadrature domains ⋮ Smooth Gaussian fields and percolation ⋮ Variance of the volume of random real algebraic submanifolds II ⋮ Lines on \(p\)-adic and real cubic surfaces ⋮ A universality property of Gaussian analytic functions ⋮ On the expected number of real roots of polynomials and exponential sums ⋮ Low-degree approximation of random polynomials ⋮ A covariance formula for topological events of smooth Gaussian fields ⋮ Probabilistic condition number estimates for real polynomial systems. I: A broader family of distributions ⋮ Condition numbers of random matrices ⋮ Statistical complexity of dominant eigenvector calculation ⋮ How Many Eigenvalues of a Random Matrix are Real? ⋮ Average Euler characteristic of random real algebraic varieties ⋮ On the probability distribution of data at points in real complete intersection varieties ⋮ Percolation of random nodal lines ⋮ The probability that a slightly perturbed numerical analysis problem is difficult ⋮ Random complex zeroes. I: Asymptotic normality ⋮ On random surface area ⋮ On the geometry of Graeffe iteration ⋮ On a condition number of general random polynomial systems ⋮ Decomposition of the Kostlan–Shub–Smale model for random polynomials ⋮ Asymptotic variance of the number of real roots of random polynomial systems ⋮ Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials ⋮ On the Number of Real Zeros of Random Fewnomials ⋮ Zeros of smooth stationary Gaussian processes ⋮ Explicit formulas for the distribution of complex zeros of a family of random sums ⋮ Real zeroes of random analytic functions associated with geometries of constant curvature ⋮ Probabilistic Schubert calculus ⋮ Real roots near the unit circle of random polynomials ⋮ The real polynomial eigenvalue problem is well conditioned on the average ⋮ Real lines on random cubic surfaces ⋮ Random fields and the enumerative geometry of lines on real and complex hypersurfaces ⋮ Correlation between zeros of a random polynomial ⋮ Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem ⋮ Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials ⋮ Variance of the volume of random real algebraic submanifolds ⋮ Frontiers of reality in Schubert calculus ⋮ On the Kostlan-Shub-Smale model for random polynomial systems. Variance of the number of roots ⋮ On the topology of random real complete intersections ⋮ Lower estimates for the expected Betti numbers of random real hypersurfaces ⋮ Expected volume and Euler characteristic of random submanifolds ⋮ Mysteries of mathematics and computation ⋮ Kac-Rice formula for transverse intersections
This page was built for publication:
