Abstract
We introduce the basic techniques used for the analysis of three dimensional and two dimensional galaxy samples. We report the correlation analysis of various red-shift surveys which shows that the available data are consistent with each other and manifest fractal correlations (with dimension D≃ 2) up to the present observational limits without any tendency towards homogenization. This result points to a new interpretation of the galaxy number counts. We show that an analysis of the small scale fluctuations allows us to reconcile the correlation analysis and the number counts in a new perspective which has a number of important implications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Coleman, P.H. & Pietronero, L., Phys.Rep. 231, (1992) 311
Baryshev, Y., Sylos Labini, F., Montuori, M., Pietronero, L. Vistas in Astron. 38, (1994) 419
Pietronero, L., Montuori, M. and Sylos Labini, F., in the Proc of the Conference “Critical Dialogues in Cosmology” N. Turok Ed. (1997) World Scientific
Sylos Labini, F., Montuori, M., Pietronero, L. phys.Rep. 291, (1997) In print
Davis, M., in the Proc of the Conference “Critical Dialogues in Cosmology” N. Turok Ed. (1997) World Scientific
Davis, M., Peebles, P. J. E. Astrophys. J., 267, (1983) 465
Sylos Labini F.,Pietronero L., Astrophys J., (1996), 469, 28
Schecther, P., Astrophys.J. 203, (1976) 297
Da Costa, L. N. et al. Astrophys. J. 424, (1994) L1
Vettolani, G., et al. (1994) Proc. of Scloss Rindberg workshop Studying the Universe with Clusters of Galaxies
Mandelbrot B., (1982) The Fractal Geometry of Nature, Freeman, New York
Sylos Labini F., Astrophys. J., 433, (1994) 464
Peebles P. J. E., (1993) Principles of physical cosmology, Princeton Univ. Press
Paturel g., Vaughn I., Gamier R., Marthinet M.C., Petit C., Di Nella H., Bottinelli L., Gouguenheim L., Durand N.,in “Databases and On-Line data in astronomy” Eds. Egert D. and Albrecht M., (1995) Knluwer Academic Publisher
Schectman S. et al., Astrophys. J., (1996) 470,172
Saunders W., Rowan Robinson M., Lawrence A., Efstathiou G., Kaiser N., Ellis R.S. and Frenk C.S. Mon.Not.R.Astr.Soc. 242, (1990) 318
Sylos Labini F., Gabrielli A., Montuori M., Pietronero L., Physica A, 226, (1996) 195
Voronoi, J. Reine Angew. Math. 134, (1908) 198
Badii R., and Politi A. Physics Letters A (1984) 104, 303
Smith L.A., Fournier J.-D. and Spiegel E.A., Physics Letters A (1986) 114, 465
Sornette D., Johansen A., Arneodo A., Muzy J.F. and Saleur H., Phys. Rev. Letters (1996) 76, 251
Solis F.J. and Tao L., (1997) preprint (cond-mat/9703051)
Broadhurst, T. J., et al.Nature, 343, (1990) 726
Willmer C.N.A. et al.Astrophys.J., 437, (1994) 560
Ettori S., Guzzo L. and Tarenghi M. Mon.Not.R.Astr.Soc. (1996), in press
Cohen J.G. et al., (1996) in prints (astro-ph/9608121)
Bellanger C. & De Lapparent V. Astrophys.J., 455, (1995) L1
Hubble, E. Astrophys.J. 64, (1926) 321
Metcalfe, N., Shanks, T., Fong, R., Jones L.R., Mon.Not.R.Astr.Soc. 249, (1991) 498 Nature, 367, (1994) 538.
Tyson, J.A., Astron.J., 96, (1988) 1
Lilly, S. J., Cowie, L. L. and Gardner, J. P., Astrophys.J.. 369, (1991) 79
Jones L. R., Fong, R., Shanks, T., Ellis, R. S.,Peterson, B. A., Mon.Not.R.Astr.Soc., 249, (1991) 481
Driver S.P., Phillipps S., Davies J.I., Morgan I. and Disney M.J. Mon.Not.R.Astr.Soc. 266, (1994) 155
Yoshii, Peterson, Astrophys.J,. 444, (1995)15
Yoshii, Yu., Takahara, F. Astrophys. J. 326, (1988)1
Cowie L., Gardner, J. P., Lilly S. J., McLean, I. Astrophys.J. 360, (1990) L1
Cowie, (1991) in Observational test of Cosmological Inflation, ed. T. Shanks, A. J. Bandy, R. S. Ellis, C. S. Frenk, & A. W. Wolfendale (Dordrecht: Kluwer), 257
Yoshii, Astrophys.J, 403, (1993) 552
Broadhurst, T. J., Ellis, R. S., Glazebrook, K. Nature, 355, (1992) 55
Haynes, M., Giovanelli, R., (1988) in “Large-scale motion in the Universe”, Eds. Rubin, V.C., Coyne, G., Princeton University Press, Princeton L133
Bertin E. and Dennefeld M., Astron.Astrophys., 317, (1996) 413
Pence W. Astrophys.J., 203, (1976) 39
Condon J. J. Astrophys.J., 287, (1984) 461
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Pietronero, L., Labini, F.S., Montuori, M. (1998). Correlation properties of the large scale matter distribution and galaxy number counts. In: Sánchez, N., Zichichi, A. (eds) Current Topics in Astrofundamental Physics: Primordial Cosmology. NATO ASI Series, vol 511. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5046-0_21
Download citation
DOI: https://doi.org/10.1007/978-94-011-5046-0_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6119-3
Online ISBN: 978-94-011-5046-0
eBook Packages: Springer Book Archive