Point Processes in General Position

Zessin HN (2008)
Journal of Contemporary Mathematical Analysis 43(1): 59-65.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
The aim of this note is to introduce for point processes in R-d the notions general position and reinforced general position, and to characterize these processes. As a consequence we show that Poisson processes P-rho with an infinite intensity measures. are in general position iff rho is diffuse in the sense that any affine subspace of dimension d - 1 is rho-nullset. Moreover, P-rho is in reinforced general position iff in addition any (d - 1)- sphere is a rho-nullset.
Stichworte
general positions; Point processes; physical clusters
Erscheinungsjahr
2008
Zeitschriftentitel
Journal of Contemporary Mathematical Analysis
Band
43
Ausgabe
1
Seite(n)
59-65
ISSN
1068-3623
Page URI
https://pub.uni-bielefeld.de/record/1635966

Zitieren

Zessin HN. Point Processes in General Position. Journal of Contemporary Mathematical Analysis. 2008;43(1):59-65.
Zessin, H. N. (2008). Point Processes in General Position. Journal of Contemporary Mathematical Analysis, 43(1), 59-65. https://doi.org/10.3103/s11957-008-1005-x
Zessin, H. N. (2008). Point Processes in General Position. Journal of Contemporary Mathematical Analysis 43, 59-65.
Zessin, H.N., 2008. Point Processes in General Position. Journal of Contemporary Mathematical Analysis, 43(1), p 59-65.
H.N. Zessin, “Point Processes in General Position”, Journal of Contemporary Mathematical Analysis, vol. 43, 2008, pp. 59-65.
Zessin, H.N.: Point Processes in General Position. Journal of Contemporary Mathematical Analysis. 43, 59-65 (2008).
Zessin, Hans Norbert. “Point Processes in General Position”. Journal of Contemporary Mathematical Analysis 43.1 (2008): 59-65.

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