An asymptotic refinement of the Gauss-Lucas Theorem for random polynomials with i.i.d. roots
Fuente:
arXiv
Saved in:
| Main Authors: | O'Rourke, Sean, Williams, Noah |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On random polynomials with an intermediate number of real roots
by: Michelen, Marcus, et al.
Published: (2023)
by: Michelen, Marcus, et al.
Published: (2023)
Sums of random polynomials with differing degrees
by: Kraus, Isabelle, et al.
Published: (2021)
by: Kraus, Isabelle, et al.
Published: (2021)
Real roots of non-centered random polynomials
by: Do, Yen Q., et al.
Published: (2026)
by: Do, Yen Q., et al.
Published: (2026)
The fractional free convolution of $R$-diagonal elements and random polynomials under repeated differentiation
by: Campbell, Andrew, et al.
Published: (2023)
by: Campbell, Andrew, et al.
Published: (2023)
Quantitative estimates of the singular values of random i.i.d. matrices
by: Dai, Guozheng, et al.
Published: (2024)
by: Dai, Guozheng, et al.
Published: (2024)
Universality for roots of derivatives of entire functions via finite free probability
by: Campbell, Andrew, et al.
Published: (2024)
by: Campbell, Andrew, et al.
Published: (2024)
Random bipartite graphs with i.i.d. weights and applications to inhomogeneous random intersection graphs
by: Haig, Alastair, et al.
Published: (2025)
by: Haig, Alastair, et al.
Published: (2025)
Gaussian Multiplicative Chaos for i.i.d. matrices
by: Cipolloni, Giorgio, et al.
Published: (2026)
by: Cipolloni, Giorgio, et al.
Published: (2026)
The Limiting Spectral Distribution for Sparse Elliptic Random Matrices
by: Carpenter, Jackson, et al.
Published: (2025)
by: Carpenter, Jackson, et al.
Published: (2025)
The eigenvalues of i.i.d. matrices are hyperuniform
by: Cipolloni, Giorgio, et al.
Published: (2026)
by: Cipolloni, Giorgio, et al.
Published: (2026)
Decoupling the i.i.d. field and the randomisation field in the Curie-Weiss model
by: Barhoumi-Andréani, Yacine, et al.
Published: (2025)
by: Barhoumi-Andréani, Yacine, et al.
Published: (2025)
A threshold for online balancing of sparse i.i.d. vectors
by: Altschuler, Dylan J., et al.
Published: (2025)
by: Altschuler, Dylan J., et al.
Published: (2025)
A functional limit theorem for self-normalized linear processes with random coefficients and i.i.d. heavy-tailed innovations
by: Krizmanic, Danijel
Published: (2026)
by: Krizmanic, Danijel
Published: (2026)
An exponential inequality for Hilbert-valued U-statistics of i.i.d. data
by: Giraudo, Davide
Published: (2024)
by: Giraudo, Davide
Published: (2024)
A reverse entropy power inequality for i.i.d. log-concave random variables
by: Fu, Zhen, et al.
Published: (2025)
by: Fu, Zhen, et al.
Published: (2025)
Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights
by: Alberts, Tom, et al.
Published: (2025)
by: Alberts, Tom, et al.
Published: (2025)
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
by: Campbell, Andrew, et al.
Published: (2022)
by: Campbell, Andrew, et al.
Published: (2022)
Tight Bounds on the Binomial CDF, and the Minimum of i.i.d Binomials, in terms of KL-Divergence
by: Zhu, Xiaohan, et al.
Published: (2025)
by: Zhu, Xiaohan, et al.
Published: (2025)
Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries
by: Dubova, Sofiia, et al.
Published: (2024)
by: Dubova, Sofiia, et al.
Published: (2024)
Matrices with Gaussian noise: optimal estimates for singular subspace perturbation
by: O'Rourke, Sean, et al.
Published: (2018)
by: O'Rourke, Sean, et al.
Published: (2018)
A simple consensus model for an increasing population of agents with i.i.d incoming opinions
by: Markou, Ioannis
Published: (2023)
by: Markou, Ioannis
Published: (2023)
Homogenization of non-divergence form operators in i.i.d. random environments
by: Guo, Xiaoqin, et al.
Published: (2025)
by: Guo, Xiaoqin, et al.
Published: (2025)
Random rotor walks and i.i.d. sandpiles on Sierpinski graphs
by: Kaiser, Robin, et al.
Published: (2022)
by: Kaiser, Robin, et al.
Published: (2022)
Gaps between Singular Values of Sample Covariance Matrices
by: Christoffersen, Nicholas, et al.
Published: (2025)
by: Christoffersen, Nicholas, et al.
Published: (2025)
Convergence of Empirical Measures for i.i.d. samples in $W^{-α, p}$
by: Iyer, Gautam, et al.
Published: (2025)
by: Iyer, Gautam, et al.
Published: (2025)
A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
by: Weber, Michel J. G.
Published: (2022)
by: Weber, Michel J. G.
Published: (2022)
Scaling limit of a one-dimensional polymer in a repulsive i.i.d. environment
by: Bouchot, Nicolas
Published: (2023)
by: Bouchot, Nicolas
Published: (2023)
Real roots of random polynomials: asymptotics of the variance
by: Do, Yen Q., et al.
Published: (2023)
by: Do, Yen Q., et al.
Published: (2023)
A sharper Lyapunov-Katz central limit error bound for i.i.d. summands Zolotarev-close to normal
by: Jonas, Lena, et al.
Published: (2025)
by: Jonas, Lena, et al.
Published: (2025)
Moment-optimal finitary isomorphism for i.i.d. processes of equal entropy
by: Gabor, Uri
Published: (2024)
by: Gabor, Uri
Published: (2024)
Haldane's asymptotics for supercritical branching processes in an iid random environment
by: Boenkost, Florin, et al.
Published: (2021)
by: Boenkost, Florin, et al.
Published: (2021)
Maximum of the characteristic polynomial of i.i.d. matrices
by: Giorgio Cipolloni, et al.
Published: (2025)
by: Giorgio Cipolloni, et al.
Published: (2025)
Concentration of the number of real roots of random polynomials
by: Aguirre, Ander, et al.
Published: (2024)
by: Aguirre, Ander, et al.
Published: (2024)
Convergence of higher derivatives of random polynomials with independent roots
by: Angst, Jürgen, et al.
Published: (2026)
by: Angst, Jürgen, et al.
Published: (2026)
A strong law of large numbers for real roots of random polynomials
by: Do, Yen Q.
Published: (2024)
by: Do, Yen Q.
Published: (2024)
On the expected number of roots of a random Dirichlet polynomial
by: Aymone, Marco, et al.
Published: (2024)
by: Aymone, Marco, et al.
Published: (2024)
Tree height and the asymptotic mean of the Colijn-Plazzotta rank of unlabeled binary rooted trees
by: Devroye, Luc, et al.
Published: (2024)
by: Devroye, Luc, et al.
Published: (2024)
Limit law for root separation in random polynomials
by: Michelen, Marcus, et al.
Published: (2025)
by: Michelen, Marcus, et al.
Published: (2025)
Operator $\ell_p\to\ell_q$ norms of random matrices with iid entries
by: Latała, Rafał, et al.
Published: (2024)
by: Latała, Rafał, et al.
Published: (2024)
Factor of iid's through stochastic domination
by: Timár, Ádám
Published: (2023)
by: Timár, Ádám
Published: (2023)
Similar Items
-
On random polynomials with an intermediate number of real roots
by: Michelen, Marcus, et al.
Published: (2023) -
Sums of random polynomials with differing degrees
by: Kraus, Isabelle, et al.
Published: (2021) -
Real roots of non-centered random polynomials
by: Do, Yen Q., et al.
Published: (2026) -
The fractional free convolution of $R$-diagonal elements and random polynomials under repeated differentiation
by: Campbell, Andrew, et al.
Published: (2023) -
Quantitative estimates of the singular values of random i.i.d. matrices
by: Dai, Guozheng, et al.
Published: (2024)