Minkowski functional description of microwave background Gaussianity

New Astronomy

Volumn 3, Issue 2, 1998, Pages 75-99

  Winitzki, Serge ^a   Kosowsky, Arthur ^a  

^a NONE

Author keywords

Cosmic microwave background; Methods: Statistical

Indexed keywords

EID: 0038921001     PISSN: 13841076     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1384-1076(97)00046-8     Document Type: Article

References (57)

1. Adler, R.J., 1981. The Geometry of Random Fields (Wiley, New York).
2. Allen, T.J., Grinstein, B., & Wise, M., 1987, Phys. Lett. B, 197, 66.
3. Bardeen, J.M., Steinhardt, P.J., & Turner, M.S., 1983, PhRvD, 28, 679.
4. Bennett, C.L., et al. 1996, ApJ, 464, L1.
5. Bennett, C.L., 1996, BAAS, 189, 8805; see also http:/ /map.gsfc.nasa.gov
6. Bennett, C.L., 1996, BAAS, 189, 8805; see also http:/ /map.gsfc.nasa.gov
7. Bernardeau, F., 1997, A&A, in press. 3
8. Bond, J.R. & Efstathiou, G., 1987, MNRAS, 226, 655.
9. Bond, J.R., Efstathiou, G., & Tegmark, M., 1997, MNRAS, in press. 4
10. Buchert, T., 1995, in: Eleventh Potsdam Workshop on Large-Scale Structure in the Universe, eds. J. Muekel, S. Gottlober, & V. Muller (World Scientific, Singapore).
11. Coles, P., 1988, MNRAS, 234, 509.
12. Colley, W.N., Gott, J.R., & Park, C., 1996, MNRAS 281, L82.
13. Dodelson, S. & Kosowsky, A., 1995, PhRvL, 75, 604.
14. Gott, J.R., et al., 1990, ApJ, 352, 1.
15. Guth, A. & Pi, Y-S., 1982, PhRvL, 49, 1110.
16. Hadwiger, H., 1956. Abh. Math. Sem. Univ. Hamburg 20, 136.
17. http://xxx.lanl.gov/abs/astro-ph/9611012
18. http://xxx.lanl.gov/abs/astro-ph/9702100
19. Hadwiger, H., 1957, Vorlesungen uber Inhalt, Oberflache und Isoperimetrie (Springer Verlag, Berlin).
20. Hadwiger, H., 1959, Math. Z. 71, 124.
21. Hamilton, A.J.S., Gott, J.R., & Weinberg, D.H., 1986, ApJ, 309, 1.
22. Hawking, S., 1982, Phys. Lett. B 115, 295.
23. Hu, W. & White, M., 1997, PhRvD, 56, 596.
24. Jungman, G., Kamionkowski, M., Kosowsky, A., & Spergel, D.N., 1996a, PhRvD, 54, 1332.
25. Jungman, G., Kamionkowski, M., Kosowsky, A., & Spergel, D.N., 1996b, PhRvL, 76, 1007.
26. Kamionkowski, M. & Kosowsky, A., 1997, PhRvD, in press. 5
27. Kerscher, M., et al. 1997, MNRAS, 284, 73.
28. Kogut, A., et al. 1994, ApJ, 433, 435.
29. Kogut, A., et al. 1996, ApJ, 464, L29.
30. Likos, C.N., Mecke, K.R., & Wagner, H., 1995, J. Chem. Phys. 102, 9350.
31. Luo, X., 1994, ApJ, 427, 71L.
32. Luo, X. & Schramm, D.N., 1993, PhRvL, 71, 1124.
33. Melott, A.L., Cohen, A.P., Hamilton, A.J.S., Gott, J.R., & Weinberg, D.H., 1989, ApJ, 345, 618.
34. Melott, A.L., 1990, PhR, 193, 1.
35. Mecke, K.R., Buchert, T., & Wagner, H., 1994, A&A, 288, 697.
36. Minkowski, H., 1903. Mathematische Annalen, 57, 447.
37. Pen, U.L., Seljak, U., & Turok, N., 1997a, PhRvL, 79, 1611.
38. Pen, U.L., Seljak, U., & Turok, N., 1997b, PhRvL, 79, 1615.
39. Planck Explorer, 1996. 6
40. Ryden, B.S., et al. 1989, ApJ, 340, 647.
41. Salopek, D.S., Bond, J.R., & Efstathiou, G., 1989, PhRvD, 40, 1753.
42. Santalo, L.A., 1976, Integral Geometry and Geometric Probability (Addison-Wesley, Reading, MA).
43. Scaramella, R. & Vittorio, N., 1991, ApJ, 375, 439.
44. Scherrer, R.J. & Schaefer, R.K., 1995, ApJ, 446, 44.
45. Serra, J., 1982, Image Analysis and Mathematical Morphology (Academic Press, London).
46. Smoot, G.F., et al., 1994, ApJ, 437, 1.
47. Starobinskii, A.A., 1982, Phys. Lett. B 117, 175.
48. Stoyan, D., Kendall, W.S., & Mecke, J., 1987, Stochastic Geometry and its Applications (Wiley, Chichester).
49. Tegmark, M., 1996, ApJ, 470, L81.
50. Tomita, H., 1990, in: Formation, Dynamics, and Statistics of Patterns, eds. K. Kawasaki, M. Suzuki, & A. Onuki, Vol. I (World Scientific, Singapore), p. 113.
51. Torres, S., Cayon, L., Maitinez-Gonzalez, E., & Sanz, J.L., 1995, MNRAS, 274, 853.
52. Weil, W., 1983, in: Convexity and its Applications, eds. P.M. Gruber & J.M. Wills (Birkhauser, Basel), p. 360.
53. Weinberg, D.H., Gott, J.R., & Melott, A.L., 1987, ApJ, 321, 2.
54. Zaldarriaga, M., Spergel, D.N., & Seljak, U., 1997, ApJ, in press. 7
55. http://xxx.lanl.gov/abs/astro-ph/9705219
56. http://astro.estec.esa.nl/SA-general/Projects/Cobras
57. http://xxx.lanl.gov/abs/astro-ph/9702157