paper

Approximation by random complex polynomials and random rational functions

arXiv:2011.02934 · doi:10.4064/ap180912-20-2

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.

arXiv admin note: substantial text overlap with arXiv:1709.08240

Approximation by random complex polynomials and random rational functions · wovepaper