Cover Image

A simple proof of local universality for roots of Kac polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Michelen, Marcus, Yakir, Oren
Format:	Preprint
Published:	2025
Subjects:	Probability Complex Variables
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Limit law for root separation in random polynomials
by: Michelen, Marcus, et al.
Published: (2025)

A deterministic proof of Loewner energy reversibility via local reversals
by: Sung, Jinwoo
Published: (2024)

Complex analytic proofs of two probabilistic theorems
by: Markowsky, Greg, et al.
Published: (2025)

From the random geometry of conformally invariant systems to the Kähler geometry of universal Teichmüller space
by: Wang, Yilin
Published: (2023)

Universality for roots of derivatives of entire functions via finite free probability
by: Campbell, Andrew, et al.
Published: (2024)

Law of large numbers for the discriminant of random polynomials
by: Michelen, Marcus, et al.
Published: (2025)

Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere
by: Michelen, Marcus, et al.
Published: (2023)

Conformal removability of non-simple Schramm-Loewner evolutions
by: Kavvadias, Konstantinos, et al.
Published: (2023)

Existence and uniqueness of the conformally covariant geodesic metric on simple conformal loop ensemble carpets
by: Miller, Jason, et al.
Published: (2025)

A probabilistic approach to strong natural boundaries
by: Dostoglou, Stamatis, et al.
Published: (2025)

A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections
by: Marinescu, George, et al.
Published: (2025)

A method of solution for the inverse problem for $h$-functions of planar Brownian motion
by: Markowsky, Greg, et al.
Published: (2024)

A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
by: Wang, Yilin
Published: (2018)

A collection of results relating the geometry of plane domains and the exit time of planar Brownian motion, II
by: Markowsky, Greg, et al.
Published: (2025)

Complete right tail asymptotic for the density of branching processes with fractional generating functions
by: Kutsenko, Anton A.
Published: (2025)

Planar Coulomb gas on a Jordan arc at any temperature
by: Courteaut, Klara, et al.
Published: (2025)

Quasi-invariance for SLE welding measures
by: Fan, Shuo, et al.
Published: (2025)

Zero distribution of power series and binary correlation of coefficients
by: Benatar, Jacques, et al.
Published: (2021)

On a problem of E. Meckes for the unitary eigenvalue process on an arc
by: Kryvonos, Liudmyla, et al.
Published: (2024)

Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
by: Viklund, Fredrik, et al.
Published: (2019)

On the clustering of Padé zeros and poles of random power series
by: Dostoglou, Stamatis, et al.
Published: (2024)

The $ρ$-Loewner Energy: Large Deviations, Minimizers, and Alternative Descriptions
by: Krusell, Ellen
Published: (2024)

Hole Phenomenon of Gaussian Analytic Functions with Power-exponential Weights
by: Du, Yun-Heng
Published: (2026)

Circle packing and Riemann uniformization of random planar maps in an ergodic scale-free environment
by: Holden, Nina, et al.
Published: (2026)

The Loewner energy of loops and regularity of driving functions
by: Rohde, Steffen, et al.
Published: (2017)

Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
by: Sung, Jinwoo, et al.
Published: (2023)

Equidistribution of Zeros of Random Polynomials and Random Polynomial mappings on $\mathbb{C}^m$
by: Günyüz, Ozan
Published: (2022)

The "pits effect" for entire functions of exponential type and the Wiener spectrum
by: Benatar, Jacques, et al.
Published: (2019)

A Polynomial Rate of Convergence for the Dirichlet Problem on Orthodiagonal Maps
by: Pechersky, David
Published: (2025)

Non-simple systoles on random hyperbolic surfaces for large genus
by: He, Yuxin, et al.
Published: (2023)

A simple proof of Sullivan's complex bounds
by: Levin, Genadi
Published: (2026)

A central limit theorem associated with a sequence of positive line bundles
by: Bojnik, Afrim, et al.
Published: (2024)

A formula for the edge density $\sqrt{n}$-correction for two-dimensional Coulomb systems
by: Ameur, Yacin
Published: (2025)

Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds
by: Bojnik, Afrim, et al.
Published: (2025)

Free energy of spherical Coulomb gases with point charges
by: Byun, Sung-Soo, et al.
Published: (2025)

Three topological phases of the elliptic Ginibre ensembles with a point charge
by: Byun, Sung-Soo, et al.
Published: (2025)

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
by: Zhang, Jiaxin
Published: (2025)

Schramm-Loewner evolution contains a topological Sierpiński carpet when $κ$ is close to 8
by: Liu, Haoyu, et al.
Published: (2025)

Multiple chordal SLE(0) and classical Calogero-Moser system
by: Zhang, Jiaxin
Published: (2025)

Asymptotic Mass Distribution of Random Holomorphic Sections
by: Bayraktar, Turgay, et al.
Published: (2025)