Eva Uhre

activity

20182025

most citedWeak limits of the measures of maximal entropy for Orthogonal polynomials

5 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.CV2025

Roots of polynomial sequences in root-sparse regions

Christian Henriksen, Carsten Lunde Petersen, Eva Uhre

Given a family $(q_{k})_{k}$ of polynomials, we call an open set $U$ root-sparse if the number of zeros of $q_{k}$ is locally uniformly bounded on $U$ . We study the interplay between the…

cond-mat.soft2024

Viscous liquid dynamics modeled as random walks within overlapping hyperspheres

Mark F. B. Railton, Eva Uhre, Jeppe C. Dyre +1

The hypersphere model is a simple one-parameter model of the potential energy landscape of viscous liquids, which is defined as a percolating system of same-radius hyperspheres ran…

math.DS2023

Convergence of Equilibrium Measures under $K$ -regular Polynomial Sequences and their Derivatives

Christian Henriksen, Carsten Lunde Petersen, Eva Uhre

Let $K \subset C$ be non-polar, compact and polynomially convex. We study the limits of equilibrium measures on preimages of compact sets, under $K$ -regular sequences of pol…

math.CV2023

Value Distributions of Derivatives of $K$ -regular Polynomial Families

Christian Henriksen, Carsten Lunde Petersen, Eva Uhre

Let $Ω \in C$ be a domain such that $K := C ∖ Ω$ is compact and non-polar. Let $g_{Ω}$ be the Green's function with a logarithmic pole at infinity, and let $ω…

math.CV2023

Zero distributions of derivatives of polynomial families centering on a set

Christian Henriksen, Carsten Lunde Petersen, Eva Uhre

Suppose $C \subset C$ is compact. Let $q_{k}$ be a sequence of polynomials of degree $n_{k} \to \infty$ , such that the locus of roots of all the polynomials is bounded, and th…

math.DS2018★ 5 cited

Weak limits of the measures of maximal entropy for Orthogonal polynomials

Carsten Lunde Petersen, Eva Uhre

In this paper we study the sequence of orthonormal polynomials ${P_{n} (μ; z)}$ defined by a probability measure $μ$ with non-polar compact support $S (μ) \subset C$ . We show t…

Roots of polynomial sequences in root-sparse regions

Viscous liquid dynamics modeled as random walks within overlapping hyperspheres

Convergence of Equilibrium Measures under K-regular Polynomial Sequences and their Derivatives

Value Distributions of Derivatives of K-regular Polynomial Families

Zero distributions of derivatives of polynomial families centering on a set

Weak limits of the measures of maximal entropy for Orthogonal polynomials

Convergence of Equilibrium Measures under $K$ -regular Polynomial Sequences and their Derivatives

Value Distributions of Derivatives of $K$ -regular Polynomial Families