论文标题

在杀手拓扑上的下属单体

Subordinators on Feller Topological Monoids

论文作者

Cendejas, Ulises Pérez, Suárez, Gerardo Pérez

论文摘要

我们研究了一类具有合适角色家族的拓扑单型,我们称之为Feller Toupological Monoids。我们将下属的经典概念扩展到了Feller拓扑单体上的下属。在适当的假设下,我们证明了这种下属的Lévy-Khintchine类型表示。此外,还获得了像分解一样的lévy-itô。这些公式概括了下属的经典。

We investigate a class of topological monoids with a suitable family of characters which we call Feller topological monoids. We extend the classical notion of subordinators to subordinators on Feller topological monoids. Under suitable assumptions, we prove a Lévy-Khintchine type representation for such subordinators. In addition, a Lévy-Itô like decomposition is obtained. These formulae generalize the classical ones for subordinators.

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