3 papers
math.CV2025
Roots of polynomial sequences in root-sparse regions
Christian Henriksen, Carsten Lunde Petersen, Eva Uhre
Given a family of polynomials, we call an open set root-sparse if the number of zeros of is locally uniformly bounded on . 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.DS2018
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 defined by a probability measure with non-polar compact support . We show t…