论文标题

随机复杂多项式和随机合理函数的近似

Approximation by random complex polynomials and random rational functions

论文作者

Gauthier, Paul M., Ransford, Thomas, St-Amant, Simon, Turcotte, Jérémie

论文摘要

我们研究了其随机函数的随机紧凑型集合,例如多项式,有理函数,pluricomplex绿色函数和SICIAK极端函数。我们研究的一个令人惊讶的结果是,随机性可用于“改善”功能序列的收敛性。

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.

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