Abstract
We have developed a framework within which the probability density for the occurrence of structures within a random field may be assessed. This framework is rather general, but we have used it mainly in the context of the large scale structure of the Universe, where the most relevant structures are: voids, galaxy clusters, filaments and laminae.
We have also considered the probability densities of structures in point distributions, starting with the Poissonian case and generalizing the results founds in this case to a general distribution. The comparison, in the high density limit, with the appropriate continuous random field renders several useful results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Preskill J. & Politzer H.: 1986, Phys.Rev.Lett. 56, 99
Betancort-Rijo J.E.: 1990. Filament in Gaussian Fields. M.N.R.A.S. 243, 431.
Betancort-Rijo J.E.: 1991a. Probabilities of Structures in Poissonian Distributions, Phys.Rev.A., 43, 2694.
Betancort-Rijo J.E.: 1991b. Probabilities of Voids, M.N.R.A.S., 246, 608.
Betancort-Rijo J.E.: 1992. Structures in Random Fields: Gaussian Fields, Phys.Rev.A., 45, 3447.
Betancort-Rijo J.E.: 1994. Cluster in Point Distributions, Phys.Rev.E., 50, 4410.
Betancort-Rijo J.E.: 1995a. Cluster in General Distribution of Points, (Unpublished).
Betancort-Rijo J.E.: 1995b. The Structure Model for Galaxy Clustering, Astron.Astrophys., 299, 635.
Betancort-Rijo J.E.: 1996a. Relationship between Cluster Densities and other Statistical Quantities, Astron.Astrophys. (In press)
Betancort-Rijo J.E.: 1996b. Excursion Sets Size Distributions and the Cosmic Mass Function, Ap.J. (In press)
Betancort-Rijo J.E.: 1996c. Structures in Three-dimensional Random Fields, (In preparation)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this paper
Cite this paper
Betancort-Rijo, J.E. (1997). Structures in Random Fields. In: Babu, G.J., Feigelson, E.D. (eds) Statistical Challenges in Modern Astronomy II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1968-2_26
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1968-2_26
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7360-8
Online ISBN: 978-1-4612-1968-2
eBook Packages: Springer Book Archive