Approximation by random complex polynomials and random rational functions
Volume 123 / 2019
Annales Polonici Mathematici 123 (2019), 267-294
MSC: Primary 30E10, 32E20; Secondary 30H50, 28A20.
DOI: 10.4064/ap180912-20-2
Published online: 27 May 2019
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.
