The fractal structure of the universe: A new field theory approach

Astrophysical Journal

Volumn 500, Issue 1 PART I, 1998, Pages 8-13

  De Vega, H J ^a   Sanchez N ^b   Combes, F ^b  

^a LPTHE   (France)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

Galaxies: clusters: general large scale structure of universe; Methods: statistical

Indexed keywords

EID: 0039303721     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/305700     Document Type: Article

References (59)

1. Abell,G.O.1958,ApJS, 3, 211
2. Balian, R., & Schaeffer, R. 1988, ApJ, 335, L43
3. _. 1989, A&A, 226, 373
4. Binney, J. J., Dpwrick, N. J., Fisher, A. J., & Newman, M. E. J. 1992, The Theory of Critical Phenomena (Oxford: Oxford Science)
5. Bouchet, F. R., Schaeffer, R., & Davis, M. 1991, ApJ, 383, 19
6. Castagnoli, C., & Provenzale, A. 1991, A&A, 246, 634
7. Coleman, P. H., & Pietronero, L. 1992, Phys. Rep., 231, 311
8. Coleman, P. H., Pietronero, L., & Sanders, R. H. 1988, A&A, 200, L32
9. Colombi, S., Bouchet, F. R., & Hernquist, L. 1996, ApJ, 465, 14
10. Davis, M. A., Meiksin, M. A., Strauss, L. N., da Costa, L. N, & Yahil, A. 1988, ApJ, 333, L9
11. Davis, M. A., & Peebles, P. J. E. 1977, ApJS, 34, 425
12. _.1983, ApJ, 267, 465
13. de Lapparent, V., Geller, M. J., & Huchra, J. P. 1986, ApJ, 302, LI
14. de Vaucouleurs, G. 1960, ApJ, 131, 585
15. _. 1970, Science, 167, 1203
16. de Vega, H., Sánchez, N., & Combes, F. 1996a, Nature, 383, 53
17. _. 1996b, Phys. Rev. D, 54, 6008 (dVSC)
18. _. 1998, in preparation
19. Di Nella, H., Montuori, M, Paturel, G., Pietronero, L., & Sylos Labini, F. 1996, A&A, 308, L33
20. Domb, C, & Green, M. S. 1976, Phase Transitions and Critical Phenomena, Vol. 6 (New York : Academic Press)
21. Dubrulle, B., & Lachieze-Rey, M. 1994, A&A, 289, 667
22. Einasto, J. 1989, in Proc. 3rd ESO-CERN Symp., Astronomy, Cosmology and Fundamental Physics, ed. M. Caffo (Dordrecht: Kluwer), 231
23. Falgarone, E., Phillips, T. G., & Walker, C. K. 1991, ApJ, 378, 186
24. Geller, M. J., & Huchra, J. P. 1989, Science, 246, 897
25. Hamilton, A. J. S. 1993, ApJ, 417, 19
26. Hochberg, D., & Ferez Mercader, J. 1996, Gen. Relativ. Gravitation, 28, 1427
27. Itoh, M., Inagaki, S., & Saslaw, W. C. 1993, ApJ, 403, 459
28. Itzykson, C, & Drouffe, J.-M. 1989, Théorie Statistique des Champs (Paris: CNRS)
29. Larson, R. B. 1981, MNRAS, 194, 809
30. Lin, H., et al. 1996, ApJ, 471, 617
31. Mandelbrot, B. B. 1975, Les Objets Fractals (Paris: Flammarion)
32. _. 1982, The Fractal Geometry of Nature (New York: Freeman)
33. Martinez, V. J., Paredes, S., & Saar, E. 1993, MNRAS, 260, 365
34. Ostriker, J. P. 1993, ARA&A, 31, 689
35. Parisi, G. 1988, Statistical Field Theory (Redwood City: Addison Wesley)
36. Peebles, P. J. E. 1980, The Large-Scale Structure of the Universe (Princeton : Princeton Univ. Press)
37. _. 1993, Principles of Physical Cosmology (Princeton: Princeton Univ. Press)
38. Pfenniger, D., & Combes, F. 1994, A&A, 285, 94
39. Pietronero, L. 1987, Physica A, 144, 257
40. Pietronero, L., Montuori, M., & Sylos Labini, F. 1997, in Critical Dialogs in Cosmology, ed. N. Turok, in press (preprint astro-ph/9611197)
41. Postman, M., Geller, M. J., & Huchra, J. P. 1986, AJ, 91, 1267
42. Postman, M., Huchra, J. P., & Geller, M. J. 1992, ApJ, 384, 404
43. Saslaw, W. C., & Fang, F. 1996, ApJ, 460, 16
44. Saslaw, W. C., & Hamilton, A. J. S. 1984, ApJ, 276, 13
45. Scott, E. L., Shane, S. D., & Swanson, M. D. 1954, ApJ, 119, 91
46. Shapley, H. 1934, MNRAS, 94, 791
47. Sheth, R. K., & Saslaw, W. C. 1996, ApJ, 470, 78
48. Smoot, G., et al. 1992, ApJ, 396, LI
49. Soneira, R. M., & Peebles, P. J. E. 1978, AJ, 83, 845
50. Sylos Labini, F. 1994, ApJ, 433, 464
51. Sylos Labini, F., & Amendola, L. 1996, ApJ, 438, LI
52. Sylos Labini, F., Gabrielli, A., Montuori, M., & Pietronero, L. 1996 Physica A, 226, 195
53. Sylos Labini, F., & Pietronero, L. 1996, ApJ, 469, 26
54. Totsuji, H., & Kihara, T. 1969, PASJ, 21, 221
55. White, S. D. M. 1979, MNRAS, 186, 145
56. Wilson, K. G. 1975, Rev. Mod. Phys., 47, 773
57. _. 1983, Rev. Mod. Phys., 55, 583
58. Wilson, K. G., & Kogut, J. 1974, Phys. Rep., 12, 75
59. Zinn-Justin, J. 1989, QFT and Critical Phenomena (Oxford : Clarendon)