论文标题

高斯和非高斯分布式随机分析和整个功能

Gaussian and non-Gaussian distributed random analytical and entire functions

论文作者

Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid

论文摘要

我们研究了复杂的高斯以及非高斯分布式随机分析和整个功能(复杂的整个随机场),并计算它们的确定性(收敛性半径)以及一些重要特征:顺序和类型。结果,我们推断出,在非常自然的条件下,所有提到的特征都是确定性的(非随机),概率是,我们对其进行了计算。此外,我们展示了一些例子,以显示获得结果的精确性。

We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiteness (radius of convergence) as well as some important characteristics: order and type. As a consequence we deduce that all the mentioned characteristics, under very natural conditions, are deterministic (non-random) with probability one and we calculate them. Moreover we exhibit some examples to show the exactness of the obtained results.

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