Galaxy N-point correlation functions: Theoretical amplitudes for arbitrary N
Journal Article
·
· Astrophys. J., Lett. Ed.; (United States)
Scaling arguments have suggested the hierarchical form of galaxy N-point correlation functions, kappa/sub N/ = Q/sub N/xi/sup N/-1, where xi is the two-point function, but such arguments are inherently unable to predict the amplitudes Q/sub N/. Assuming this form, substituting in the BBGKY hierarchy, and using graph theory combinatories, I find amplitudes Q/sub N/ = (4Q/N)/sup N/-2N/(2N-2), where Q is the reduced three-point amplitude. As an application, I compute the probability of large void regions in the hierarchical picture.
- Research Organization:
- Astronomy and Astrophysics Center, The University of Chicago
- DOE Contract Number:
- AC02-80ER10773
- OSTI ID:
- 6814559
- Journal Information:
- Astrophys. J., Lett. Ed.; (United States), Journal Name: Astrophys. J., Lett. Ed.; (United States) Vol. 277:1; ISSN AJLEA
- Country of Publication:
- United States
- Language:
- English
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