ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա =Известия НАН Армении: Математика =Proceedings of the NAS Armenia: Mathematics

Point Processes in General Position

Zessin, H. (2008) Point Processes in General Position. Հայաստանի ԳԱԱ Տեղեկագիր. Մաթեմատիկա, 43 (1). pp. 81-88. ISSN 00002-3043

[img]
Preview
PDF
Download (312Kb) | Preview

    Abstract

    The aim of this note is to introduce for point processes in Rd the notions general position and reinforced general position, and to characterize these processes. As a consequence we show that poisson processes Pp with an infinite intensity measures p are in general position iff p is diffuse in the sense that any affine subspace of dimension d-1 is a p-nullset. Moreover, Pp is in reinforced general position iff in addition any (d-1)-sphere is a p-nullset.

    Item Type: Article
    Additional Information: Точечные процессы в общей позиции / Г. Цессин.
    Uncontrolled Keywords: Point processes; general positions; physical clusters.
    Subjects: Q Science > QA Mathematics
    Divisions: UNSPECIFIED
    Depositing User: Bibliographic Department
    Date Deposited: 27 Aug 2012 13:56
    Last Modified: 27 Aug 2012 13:56
    URI: http://mathematics.asj-oa.am/id/eprint/160

    Actions (login required)

    View Item