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math.DS2023
Convergence of Equilibrium Measures under -regular Polynomial Sequences and their Derivatives
Christian Henriksen, Carsten Lunde Petersen, Eva Uhre
Let be non-polar, compact and polynomially convex. We study the limits of equilibrium measures on preimages of compact sets, under -regular sequences of pol…
math.CV2023
Value Distributions of Derivatives of -regular Polynomial Families
Christian Henriksen, Carsten Lunde Petersen, Eva Uhre
Let be a domain such that is compact and non-polar. Let 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 is compact. Let be a sequence of polynomials of degree , such that the locus of roots of all the polynomials is bounded, and th…