Genus statistics using the Delaunay tessellation field estimation method. I. Tests with the Millennium Simulation and the SDSS DR7

Astrophysical Journal

Volumn 722, Issue 1, 2010, Pages 812-824

  Zhang, Youcai ^a,b   Springel, Volker ^c,d   Yang, Xiaohu ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^c MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

^d HEIDELBERG INSTITUTE FOR THEORETICAL STUDIES   (Germany)

Author keywords

Cosmology: observations; Large scale structure of universe; Methods: statistical

Indexed keywords

EID: 78149269903     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1088/0004-637X/722/1/812     Document Type: Article

References (56)

1. Abazajian, K. N., et al. 2009, ApJS, 182, 543
2. Barnes, J., & Hut, P. 1986, Nature, 324, 446
3. Blanton, M. R., et al. 2003, ApJ, 592, 819
4. Blanton, M. R., et al. 2005, AJ, 129, 2562
5. Bower, R. G., Benson, A. J., Malbon, R., Helly, J. C., Frenk, C. S., Baugh, C. M., Cole, S., & Lacey, C. G. 2006, MNRAS, 370, 645
6. Cacciato, M., van den Bosch, F. C., More, S., Li, R., Mo, H. J., & Yang, X. 2009, MNRAS, 394, 929
7. Canavezes, A., et al. 1998, MNRAS, 297, 777
8. Choi, Y., Park, C., Kim, J., Gott, J. R., III, Weinberg, D. H., Vogeley, M. S., & Kim, S. S. 2010, arXiv:1005.0256
9. Choi, Y., Park, C., & Vogeley, M. S. 2007, ApJ, 658, 884
10. Colless, M., et al. 2001, MNRAS, 328, 1039
11. Croton, D. J., et al. 2006, MNRAS, 365, 11
12. Dave, R., Hellinger, D., Primack, J., Nolthenius, R., & Klypin, A. 1997, MNRAS, 284, 607
13. Davis, M., Efstathiou, G., Frenk, C. S., & White, S. D. M. 1985, ApJ, 292, 371
14. Delaunay, B. N. 1934, Sur la sphère vide: Izv. Akad. Nauk SSSR, Otdel. Mat. Est. Nauk, 7, 793
15. De Lucia, G., & Blaizot, J. 2007, MNRAS, 375, 2
16. Dunkley, J., et al. 2009, ApJS, 180, 306
17. Gott, J. R., Choi, Y., Park, C., & Kim, J. 2009, ApJ, 695, L45
18. Gott, J. R., III, Dickinson, M., & Melott, A. L. 1986, ApJ, 306, 341
19. Gott, J. R. I., Weinberg, D. H., & Melott, A. L. 1987, ApJ, 319, 1
20. Gott, J. R. I., et al. 1989, ApJ, 340, 625
21. Gott, J. R. I., et al. 2008, ApJ, 675, 16
22. Guth, A. H. 1981, Phys. Rev. D, 23, 347
23. Guth, A. H., & Pi, S. 1982, Phys. Rev. Lett., 49, 1110
24. Hamilton, A. J. S., Gott, J. R. I., & Weinberg, D. 1986, ApJ, 309, 1
25. Hernquist, L., & Katz, N. 1989, ApJS, 70, 419
26. Hikage, C., et al. 2002, PASJ, 54, 707
27. Hikage, C., et al. 2003, PASJ, 55, 911
28. Illian, J., Penttinen, A., Stoyan, H., & Stoyan, D. 2008, Statistical Analysis and Modelling of Spatial Point Patterns (New York: Wiley)
29. James, J. B., Colless, M., Lewis, G. F., & Peacock, J. A. 2009, MNRAS, 394, 454
30. Kofman, L., Bertschinger, E., Gelb, J. M., Nusser, A., & Dekel, A. 1994, ApJ, 420, 44
31. Li, C., Jing, Y. P., Kauffmann, G., Börner, G., Kang, X., & Wang, L. 2007, MNRAS, 376, 984
32. Liu, L., Yang, X., Mo, H. J., van den Bosch, F. C., & Springel, V. 2010, ApJ, 712, 734
33. Mecke, K. R., Buchert, T., & Wagner, H. 1994, A&A, 288, 697
34. Monaghan, J. J., & Lattanzio, J. C. 1985, A&A, 149, 135
35. Moore, B., et al. 1992, MNRAS, 256, 477
36. Okabe, A., et al. 2000, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2nd ed.; Chichester: Wiley)
37. Park, C., & Choi, Y. 2005, ApJ, 635, L29
38. Park, C., Gott, J. R., III, & da Costa, L. N. 1992, ApJ, 392, L51
39. Park, C., Kim, J., & Gott, J. R. I. 2005, ApJ, 633, 1
40. Peebles, P. J. E. 1980, The Large-scale Structure of the Universe (Princeton, NJ: Princeton Univ. Press)
41. Pelupessy, F. I., Schaap, W. E., & van de Weygaert, R. 2003, A&A, 403, 389
42. Protogeros, Z. A. M., & Weinberg, D. H. 1997, ApJ, 489, 457
43. Rhoads, J. E., Gott, J. R. I., & Postman, M. 1994, ApJ, 421, 1
44. Schaap, W. E., & van de Weygaert, R. 2000, A&A, 363, L29
45. Springel, V. 2005, MNRAS, 364, 1105
46. Springel, V. 2010, MNRAS, 401, 791
47. Springel, V., Frenk, C. S., & White, S. D. M. 2006, Nature, 440, 1137
48. Springel, V., White, S. D. M., Tormen, G., & Kauffmann, G. 2001, MNRAS, 328, 726
49. Springel, V., et al. 1998, MNRAS, 298, 1169
50. Springel, V., et al. 2005, Nature, 435, 629
51. Vogeley, M. S., Park, C., Geller, M. J., Huchra, J. P., & Gott, J. R. I. 1994, ApJ, 420, 525
52. Weinberg, D. H. 1988, PASP, 100, 1373
53. Yang, X., Mo, H. J., Jing, Y. P., van den Bosch, F. C., & Chu, Y. 2004, MNRAS, 350, 1153
54. Yang, X.-h., Mo, H. J., & van den Bosch, F. C. 2003, MNRAS, 339, 1057
55. Yang, X., Mo, H. J., & van den Bosch, F. C. 2009, ApJ, 695, 900
56. York, D. G., et al. 2000, AJ, 120, 1579