On the number of components of random polynomial lemniscates
From MaRDI portal
Publication:6595702
DOI10.1214/24-ejp1147zbMath1546.30004MaRDI QIDQ6595702
Publication date: 30 August 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Geometric probability and stochastic geometry (60D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Random power series in one complex variable (30B20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the distribution of critical points of a polynomial
- On the number of connected components of random algebraic hypersurfaces
- Metric properties of polynomials
- Sharpening of Hilbert's lemniscate theorem
- Polynomial-lemniscates, trees and braids
- Generic lemniscates of algebraic functions
- The lemniscate tree of a random polynomial
- Pairing of zeros and critical points for random meromorphic functions on Riemann surfaces
- Pairing of zeros and critical points for random polynomials
- Distances between zeroes and critical points for random polynomials with i.i.d. zeroes
- The Distribution of Zeros of the Derivative of a Random Polynomial
- Probability
- Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices
- The arc length and topology of a random lemniscate
- Pairing between zeros and critical points of random polynomials with independent roots
- Asymptotics for the Expected Number of Nodal Components for Random Lemniscates
- Zeros of random polynomials and their higher derivatives
- Correlations and Pairing between Zeros and Critical Points of Gaussian Random Polynomials
- On the geometry of random lemniscates
- Critical points of random polynomials with independent identically distributed roots
- Sendov's conjecture for sufficiently-high-degree polynomials
This page was built for publication: On the number of components of random polynomial lemniscates
