Approximation by random complex polynomials and random rational functions
Complex Variables
2020-11-06 v1
Abstract
We investigate random compact sets with random functions defined thereon, such as polynomials, rational functions, the pluricomplex Green function and the Siciak extremal function. One surprising consequence of our study is that randomness can be used to `improve' convergence for sequences of functions.
Cite
@article{arxiv.2011.02934,
title = {Approximation by random complex polynomials and random rational functions},
author = {Paul M. Gauthier and Thomas Ransford and Simon St-Amant and Jérémie Turcotte},
journal= {arXiv preprint arXiv:2011.02934},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1709.08240