Abstract
The description of gravitational clustering is essentially statistical but its origin is dynamical. Hence both aspects of clustering: dynamical and statistical, must be understood in order to arrive at a proper appreciation of the subject of gravitational instability and the formation and evolution of the large scale structure of the Universe. Key dynamical aspects of gravitational clustering such as the Zeldovich approximation and its extension — the adhesion model are reviewed. Statistical indicators of clustering such as the correlation function and percolation theory, as applied to the large scale structure of the Universe have also been focussed on.
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References
M Davis and P J E Peebles,Astrophys. J. 267, 465 (1983)
N Kaiser,Astrophys. J. 284, L9 (1984)
J M Bardeen, J R Bond, N Kaiser and A S Szalay,Astrophys. J. 304, 15 (1986)
D Lynden-Bell, S M Faber, D Burstein, R L Davies, A Dressler, R J Terlevich and G Wegner,Astrophys. J. 326, 19 (1988)
A Dekel,Ann. Rev. Astron. Astrophys. 32, 371 (1994)
M White, D Scott and J Silk,Ann. Rev. Astron. Astrophys. 32, 319 (1994)
A R Liddle and D H Lyth,Phys. Rep. 231, 1 (1993)
V Sahni and P Coles,Phys. Rep. 262, 1 (1995)
Ya B Zel’dovich,Astron. Astrophys. 4, 84 (1970)
S F Shandarin and Ya B Zel’dovich,Rev. Mod. Phys. 61, 185 (1989)
S N Gurbatov, A I Saichev and S F Shandarin,Mon. Not. R. Astron. Soc. 236, 385 (1989)
S N Gurbatov, A I Saichev and S F Shandarin,Sov. Phys. Dokl. 30, 921 (1985)
J M Burgers,The non-linear diffusion equation (Reidel, Dordrecht, 1974)
G B Whitham,Linear and non-linear waves (Wiley, New York, 1974)
A Nusser and A Dekel,Astrophys. J. 362, 14 (1990)
D H Weinberg and J E Gunn,Mon. Not. R. Astron. Soc. 247, 260 (1990)
L A Kofman, D Yu Pogosyan, S F Shandarin and A L Melott,Astrophys. J. 393, 437 (1992)
V Sahni, B S Sathyaprakash and S F Shandarin,Astrophys. J. 431, 20 (1994)
B S Sathyaprakash, V Sahni, D Munshi, D Pogosyan and A L Melott,Mon. Not. R. Astron. Soc. 275, 463 (1995)
B S Sathyaprakash, V Sahni and S F Shandarin,Mon. Not. R. Astron Soc. (submitted)
B S Sathyaprakash, V Sahni, S F Shandarin,Astrophy. J. Lett. 462, L5 (1996)
A Babul and G D Starkman,Astrophys. J. 401, 28 (1992)
C Yess and S F Shandarin,Astrophys. J. 465, 2 (1996)
A L Melott,Phys. Rep. 193, 1 (1990)
B S Sathyaprakash, V Sahni, S F Shandarin and K Fisher, in preparation
L N da Costa, inCosmic velocity fields, Proceedings of the ninth IAP Astrophysics meeting edited by F R Bouchet and M Lachieze-Rey (Editions Frontieres 1994) p. 475
N A Bahcall and M J West,Astrophys. J. 392, 419 (1992)
A A Klypin and S F Shandarin,Astrophys. J. 413, 48 (1993)
R C Pearson and P Coles,Mon. Not. R. Astron. Soc. 272, 231 (1995)
B S Sathyaprakash, V Sahni, S F Shandarin and K Fisher, in preparation
Ya B Zel’dovich,Sov. Astron. Lett. 8, 102 (1982)
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Sahni, V. The large scale structure of the universe: Dynamical and statistical aspects. Pramana - J Phys 49, 131–145 (1997). https://doi.org/10.1007/BF02856344
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DOI: https://doi.org/10.1007/BF02856344