Structure in the three-dimensional galaxy distribution. I. Methods and example results

Astrophysical Journal

Volumn 727, Issue 1, 2011, Pages

  Way, M J ^a,b,c   Gazis, P R ^a   Scargle, Jeffrey D ^a  

^a NASA AMES RESEARCH CENTER   (United States)

^b NASA GODDARD INSTITUTE FOR SPACE STUDIES   (United States)

^c UPPSALA UNIVERSITY   (Sweden)

Author keywords

Clusters; Cosmology; Data analysis; General large scale structure of universe methods; Observations galaxies

Indexed keywords

EID: 84891190816     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1088/0004-637X/727/1/48     Document Type: Article

References (184)

1. Abazajian, K. N., et al. 2003, AJ, 126, 2081
2. Abazajian, K. N., et al. 2009, ApJS, 182, 543
3. Abell, G. O. 1958, ApJS, 3, 211
4. Adelman-McCarthy, J. K., et al. 2007, ApJS, 172, 634
5. Andersen, P., Borgan, O., Gill, R., & Keiding, N. 1992, Statistical Models Based on Counting Processes (New York: Springer)
6. Aragón-Calvo, M. A., Jones, B. J. T., van de Weygaert, R., & van der Hulst, J. M. 2007, A&A, 474, 315
7. Aragón-Calvo, M. A., Shandarin, S. F., & Szalay, A. 2010, in 7th Int. Symp. on Voronoi Diagrams in Science and Engineering (ISVD'10), ed. M. A. Mostafavi (IEEE Computer Society) (Los Alamitos, CA: IEEE), 235
8. Aragón-Calvo, M. A., van de Weygaert, R., & Jones, B. J. T. 2010, MNRAS, 408, 2163
9. Balogh, M., et al. 2004, MNRAS, 348, 1355
10. Barber, C. B., Dobkin, D. P., & Huhdanpaa, H. T. 1996, ACM Trans. Math. Softw., 22, 469
11. Barrow, J. D., Bhavsar, S. P., & Sonoda, D. H. 1985, MNRAS, 216, 17
12. Bauer, H.-U., & Villmann, T. 1997, IEEE Trans. Neural Netw., 8, 218
13. Beaky, M. M., Scherrer, R. J., & Villumsen, J. V. 1992, ApJ, 387, 443
14. Blanton, M. R., & Berlind, A. A. 2007, ApJ, 664, 791
15. Blanton, M. R., Eisenstein, D., Hogg, D. W., & Zehavi, I. 2006, ApJ, 645, 977
16. Blanton, M. R., et al. 2005, AJ, 129, 2562
17. Bok, B. 1934, Havard College Obs. Bull., 895, 1
18. Bond, N., Strauss, M. A., & Cen, R. 2010, MNRAS, 406, 1609
19. Botzler, C. S., Snigula, J., Bender, R., & Hopp, U. 2004, MNRAS, 349, 425
20. Buryak, O. E., Doroshkevich, A. G., & Fong, R. 1994, ApJ, 434, 24
21. Butcher, H., & Oemler, A. 1978, ApJ, 226, 559
22. Canavezes, A., et al. 1998, MNRAS, 297, 777
23. Cappellari, M. 2009, in Voronoi Binning: Optimal Adaptive Tessellations of Multi-dimensional Data, Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, ed. R. van de Weijgaert, G. Vegter, J. Ritzerveld, & V. Icke (invited review; Berlin: Springer), submitted (arXiv:0912.1303)
24. Choi, E., Bond, N. A, Strauss, M. A., Coil, A. L, Davis, M., & Willmer, C. N. A. 2010, MNRAS, 406, 320
25. Choi, Y., Park, C., Kim, J., Gott, J. R., Weinberg, D. H., Vogeley, M. S., Kim, S. S., & for the SDSS Collaboration 2010, ApJS, 190, 181
26. Colberg, J. M. 2007, MNRAS, 375, 337
27. Colberg, J. M., et al. 2008, MNRAS, 387, 933
28. Coles, P. 1990, Nature, 346, 446
29. Colless, M. M., et al. 2001, MNRAS, 328, 1039
30. Connolly, A. J., Genovese, C., Moore, A. W., Nichol, R. C., Schneider, J., & Wasserman, L. 2000, arXiv:astro-ph/0008187
31. Cowan, N. B., & Ivezić, Z. 2008, ApJ, 674, L13
32. Croft, R. A. C., & Efstathiou, G. 1994, MNRAS, 267, 390
33. Croton, D. J., Gao, L., & White, S. D. M 2007, MNRAS, 374, 1303
34. Croton, D. J., et al. 2005, MNRAS, 356, 1155
35. Daley, D. J., & Vere-Jones, D. 2002, An Introduction to the Theory of Point Processes, Vol. I: Elementary Theory and Methods (2nd ed.; New York: Springer)
36. Davis, M., Huchra, J., Latham, D. W., & Tonry, J. 1982, ApJ, 253, 445
37. de Berg, M., van Kreveld, M., Overmars, M., & Schwarzkopf, O. 1997, Computational Geometry: Algorithms and Applications (New York: Springer)
38. Dekel, A., & West, M. J. 1985, ApJ, 288, 411
39. DeSieno, D. 1988, IEEE Int. Conf. Neural Netw., 1, 1117
40. de Vaucouleurs, G. 1953, AJ, 58, 30
41. de Vaucouleurs, G. 1958, AJ, 63, 252
42. de Vaucouleurs, G. 1975, in Stars and Stellar Systems, Vol. 9, ed. A. Sandage, M. Sandage, & J. Kristian (Chicago, IL: Univ. Chicago Press), 557
43. Daley, D. J., & Vere-Jones, D. 1999, Formation of Structure in the Universe (Cambridge: Cambridge Univ. Press)
44. Diehl, S., & Statler, T. 2006, MNRAS, 368, 497
45. Doroshkevich, A., Tucker, D. L., Allam, S., & Way, M. J. 2004, A&A, 418, 7
46. Doroshkevich, A. G., Tucker, D. L., Fong, R., Turchaninov, V., & Lin, H. 2001, MNRAS, 322, 369
47. Doroshkevich, A. G., Tucker, D. L., Oemler, A., Jr., Kirshner, R. P., Lin, H., Shectman, S. A., Landy, S. D., & Fong, R. 1996, MNRAS, 283, 1281
48. Dressler, A. 1980, ApJ, 236, 351
49. Ebeling, H., & Wiedenmann, G. 1993, Phys. Rev. E, 47, 704
50. Efstathiou, G., & Eastwood, J. W. 1981, MNRAS, 194, 503
51. Einasto, J., Klypin, A. A., Saar, E., & Shandarin, S. F. 1984, MNRAS, 206, 529
52. Elyiv, A., Melnyk, O., & Vavilova, I. 2009, MNRAS, 394, 1409
53. Gamow, G. 1954, Proc. Natl. Acad. Sci., 40, 480
54. Gazis, P. R., Levit, C., & Way, M. J. 2010, PASP, 122, 1518
55. Gazis, P. R., & Scargle, J. D. 2010, Statistical Analysis and Data Mining, submitted (arXiv:0802.0861)
56. Giovanelli, R., & Haynes, M. P. 1991, ARA&A, 29, 499
57. Gomez, P. L., et al. 2003, ApJ, 584, 210
58. Gott, J. R., Melott, A. L., & Dickinson, M. 1986, ApJ, 306, 341
59. Gott, J. R., Turner, E. L., & Aarseth, S. J. 1979, ApJ, 234, 13
60. Gott, J. R., Weinberg, D. H., & Melott, A. L. 1987, ApJ, 319, 1
61. Gott, J. R., Yun-Young, C., Park, C., & Kim, J. 2009, ApJ, 695, L45
62. Gray, A., & Moore, A. 2003a, in Proc. 9th Int. Workshop on Artificial Intelligence and Statistics, Rapid Evaluation of Multiple Density Models, 2003 Jan 3-6, Key West, FL, ed. C. M. Bishop & B. J. Frey (http://research. microsoft.com/en-us/um/cambridge/events/aistats2003/proceedings/180.pdf)
63. Gray, A., & Moore, A. 2003b, in Proc. 2003 SIAM Int. Conf. on Data Mining, 2003 May 1-3, Nonparametric Density Estimation: Toward Computational Tractability (Philadelphia, PA: Society for Industrial and Applied Mathematics), 203
64. Groth, E. J., & Peebles, P. J. E. 1977, ApJ, 217, 385
65. Gregory, S. A., & Thompson, L. A. 1978, ApJ, 222, 784
66. Hahn, O., Carollo, C. M., Porciani, C., & Dekel, A. 2007a, MNRAS, 381, 41
67. Hahn, O., Porciani, C., Carollo, C. M., & Dekel, A. 2007b, MNRAS, 375, 489
68. Hamilton, A. J. S., Gott, R. J., & Weinberg, D. H. 1986, ApJ, 309, 1
69. Herschel, J. F. W. 1847, Phil. Trans. R. Soc., 137, 1
70. Herschel, W. 1784, Phil. Trans. R. Soc., 74, 437
71. Hogg, D. W., et al. 2003, ApJ, 585, L5
72. Holmberg, E. 1937, Ann. Obs. Lund No, 6, 1937
73. Hubble, E. P. 1925, Publ. Am. Astron. Soc., 5, 261
74. Hubble, E. P. 1934, ApJ, 79, 8
75. Hubble, E. P. 1936, The Realm of the Nebulae (New Haven, CT: Yale Univ. Press)
76. Huchra, J., Davis, M., Latham, D., & Tonry, J. 1983, ApJS, 52, 89
77. Huchra, J., & Gellar, M. J. 1982, ApJ, 257, 423
78. Huggins, W. 1864, Phil. Trans. R. Soc., 154, 437
79. Hsu, A., & Halgamuge, S. K. 2003, Int. J. Approx. Reason., 23, 259
80. Icke, V., & van de Weygaert, R. 1987, A&A, 184, 16
81. Ikeuchi, S., & Turner, E. L. 1991, MNRAS, 250, 519
82. Ivezić, Z., Tyson, J. A., Allsman, R., Andrew, J., Angel, R., & for the LSST Collaboration 2008, arXiv:0805.2366
83. Ivezić, Z., Vivas, A. K., Lupton, R. H., & Zinn, R. 2005, AJ, 129, 1096
84. Jackson, B., Scargle, J., Cusanza, C., Barnes, D., Kanygin, D., Sarmiento, R., Subramaniam, S., & Chuang, T. 2010, Optimal Partitions of Data in Higher Dimensions, Statistical Analysis and Data Mining, submitted
85. Jackson, B., et al. 2005, IEEE Signal Process. Lett., 12, 105
86. James, J. B., Lewis, G. F., & Colless, M. 2007, MNRAS, 375, 128
87. Jones, B. J. T., van de Weygaert, R., & Aragón-Calvo, M. A. 2010, MNRAS, 408, 897
88. Kaiser, N., et al. 2002, Proc. SPIE, 4836, 154
89. Kauffmann, G., White, S. D. M., Heckman, T. M., Menard, B., Brinchmann, J., Charlot, S., Tremonti, C., & Brinkmann, J. 2004, MNRAS, 353, 713
90. Kim, R. S. J., Strauss, M. A., Bahcall, N. A., Gunn, J. E., Lupton, R. H., Vogeley, M. S., & Schlegel, D. (for the SDSS Collaboration) 1999, in ASP Conf. Ser. 200, Clustering at High Redshift, ed. A. Mazure, O. LeFevre, & V. Lebrun (San Francisco, CA: ASP), 422
91. Kohonen, T. 1984, Self-Organization and Associative Memory (Berlin: Springer)
92. Krzewina, L. G., & Saslaw, W. C. 1996, MNRAS, 278, 869
93. Kutoyants, Yu. A. 1998, Statistical Inference for Spatial Poisson Processes, Lecture Notes in Statistics, Vol. 134 (New York: Springer)
94. Landy, S. D., & Szalay, A. S. 1993, ApJ, 412, 64
95. Layzer, D. N. 1956, AJ, 61, 383
96. Lemson, G., & Kauffmann, G. 1999, MNRAS, 302, 111
97. Limber, D. N. 1953, ApJ, 117, 134
98. Limber, D. N. 1954, ApJ, 119, 655
99. Limber, D. N. 1957, ApJ, 125, 9
100. Martinez, V. J., & Saar, E. 2001, Statistics of the Galaxy Distribution (Boca Raton, FL: Chapman and Hall)
101. Martinez, V. J., Starck, J., Saar, E., Donoho, D. L., Reynolds, S. C., de la Cruz, P., & Paredes, S. 2005, ApJ, 634, 744
102. Matsuda, T., & Shima, E. 1984, Prog. Theor. Phys., 71, 855
103. Melnyk, O. V., Elyiv, A. A., & Vavilova, I. B. 2006, Kinematika Fiz. Nebesnykh Tel, 22, 283
104. Merényi, E. 1998, Proc. European Symposium on Artificial Neural Networks, ESANN98, Bruges, Belgium, Self-Organizing ANNs for Planetary Surface Composition Research, 1998 April 22-24, 197 (Bruges: D Facts Publications)
105. Messier, C. 1781, in Connoissance des Temps pour l'Annee Bissexile 1784, Paris, Catalogue des nebuleuses et des amas d'eoiles (Paris: Imprimerie Royale), 263
106. Moore, B., et al. 1992, MNRAS, 256, 477
107. Mowbray, A. G. 1938, PASP, 50, 275
108. Neyman, J. 1962, in Problems of Extra-Galactic Research, Alternative Stochastic Models of the Spatial Distribution of Galaxies, ed. G. C. McVittie (London: Macmillan), 294
109. Neyman, J., & Scott, E. L. 1952, ApJ, 116, 144
110. Neyman, J., & Scott, E. L. 1959, in Encyclopedia of Physics, Vol. 53, Largescale Organization of the Distribution of Galaxies, ed. S. Flugge (Berlin: Spring), 416
111. Neyrinck, M. C. 2008, MNRAS, 386, 2101
112. Neyrinck, M. C., Gnedin, N. Y., & Hamilton, A. J. S. 2005, MNRAS, 356, 1222
113. Oemler, A. 1974, ApJ, 194, 1
114. Okabe, A., Boots, B., Sugihara, K., Chiu, S. N., & Kendall, D. G. 2000, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2nd ed.; New York: Wiley)
115. Oort, J. H. 1983, ARA&A, 21, 3730
116. Pandey, B., & Bharadwaj, S. 2005, MNRAS, 357, 1068
117. Park, C., & Gott, J. R. 1991, ApJ, 378, 457
118. Papoulis, A. 1965, Probability, Random Variables, and Stochastic Processes (New York: McGraw-Hill)
119. Paredes, S., Jones, B. J. T., & Martinez, V. J. 1995, MNRAS, 276, 1116
120. Pearson, R. C., & Coles, P. 1995, MNRAS, 272, 231
121. Peebles, P. J. E. 1980, The Large-Scale Structure of the Universe (Princeton, NJ: Princeton Univ. Press)
122. Peebles, P. J. E., & Hauser, M. G. 1974, ApJS, 28, 19
123. Pizarro, D., Campusano, L. E., Clowes, R. G., Virgili, P., Hitschfeld-Kahler, N., & Sochting, I. K. 2006, in Proc. 3rd Int. Symp. on Voronoi Diagrams in Science and Engineering, ed. M. L. Gavrilova (Los Alamitos, CA: IEEE), 112
124. Platen, E., van de Weygaert, R., & Jones, B. J. T. 2007, MNRAS, 380, 551
125. Postman, M., & Geller, M. J. 1984, ApJ, 281, 95
126. Preparata, F. P., & Shamos, M. I. 1985, Computational Geometry: An Introduction (New York: Springer)
127. Press, W. H., & Davis, M. 1982, ApJ, 259, 449
128. Ramella, M., Boschin, W., Fadda, D., & Nonino, M. 2001, A&A, 368, 776
129. Ramella, M., Nonino, M., Boschin, W., & Fadda, D. 1999, in ASP Conf. Ser. 176, Observational Cosmology: The Development of Galaxy Systems, ed. G. Giuricin, M. Mezzetti, & P. Salucci (San Francisco, CA: ASP), 108
130. Ramella, M., Pisani, A., & Geller, M. 1997, AJ, 113, 483
131. Rapetti, D., Allen, S. W., Mantz, A., & Ebeling, H. 2009, MNRAS, 400, 699
132. Reiz, A. 1941, Ann. Obs. Lund No. 9, 1941
133. Ritter, H., Martinez, T., & Schulten, K. 1992, Neural Computation and Self-Organizing Maps (Reading, MA: Addison-Wesley)
134. Rubin, V. C. 1954, Proc. Natl. Acad. Sci., 40, 541
135. Sandage, A., & Tammann, G. A. 1975, ApJ, 197, 265
136. Santiago, B. X., & Strauss, M. A. 1992, ApJ, 387, 9
137. Saslaw, W. C. 2000, The Distribution of the Galaxies: Gravitational Clustering in Cosmology (Cambridge: Cambridge Univ. Press)
138. Scargle, J. 1998, ApJ, 504, 405
139. Scargle, J. 2002, in AIP Conf. Proc. 617, 21
140. st Intl. Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, ed. R. L. Fry (Melville, NY: AIP), 163
141. Schaap, W. E. 2007, PhD thesis, Groningen Univ.
142. Schaap, W. E., & van de Weygaert, R. 2000, A&A, 363, L29
143. Schlegel, D. J., et al. 2009, arXiv:0904.0468v3
144. Scott, D. W. 1992, Multivariate Density Estimation: Theory, Practice and Visualization (New York: Wiley)
145. Shandarin, S. F. 1983, Sov. Astron. Lett., 9, 104
146. Shane, C. D., & Wirtanen, C. A. 1967, Publ. Lick. Obs. 22, Part 1
147. Shapley, H. 1933, PNAS, 19, 389
148. Shectman, S. A., Landy, S. D., Oemler, A., Tucker, D. L., Lin, H., Kirshner, R. P., & Schechter, P. L. 1996, ApJ, 470, 172
149. Sheth, J. V., Sahni, V., Shandarin, S. F., & Sathyaprakash, B. S. 2003, MNRAS, 343, 22
150. Sheth, J. V., & Tormen, G. 2004, MNRAS, 350, 1385
151. Silverman, B. W. 1986, Density Estimation for Statistics and Data Analysis (reprinted in 1998; Boca Raton, FL: CRC Press)
152. Slezak, E., Bijaoui, A., & Mars, G. 1990, A&A, 227, 301
153. Slezak, E., de Lapparent, V., & Bijaoui, A. 1993, ApJ, 409, 517
154. Snyder, D. L., & Miller, M. I. 1991, Random Point Processes in Time and Space (2nd ed.; New York: Springer)
155. Soares-Santos, M., et al. 2010, ApJ, in press (arXiv:1011.3458)
156. Sousbie, T., Columbi, S., & Pichon, C. 2009, MNRAS, 393, 457
157. Sousbie, T. 2010, MNRAS, submitted (arXiv:1009.4015)
158. Sousbie, T., Pichon, C., & Kawahara, H. 2010, MNRAS, submitted (arXiv:1009.4014)
159. Springel, V., et al. 2005, Nature, 435, 629
160. Stein, M. L. 1997, in Statistical Challenges in Modern Astronomy II, ed. E. D. Feigelson & G. J. Babu (New York: Springer), 166
161. Stoyan, D., Kendall, W. S., & Mecke, J. 1995, Stochastic Geometry and Its Applications (Chichester: Wiley)
162. Strauss, M. A., et al. 2002, AJ, 124, 1810
163. Stril, A., Cahn, R., & Linder, E. V. 2010, MNRAS, 404, 239
164. Szapudi, I., & Szalay, A. S. 1998, ApJ, 494, 41
165. Totsuji, H., & Kihara, T. 1969, PASJ, 21, 221
166. Turner, E. L., Aarseth, S. J., Gott, J. R., Blanchard, N. T., & Mathieu, R. D. 1979, ApJ, 228, 684
167. Turner, E. L., & Gott, J. R. 1976, ApJS, 32, 409
168. Ueda, H., & Itoh, M. 1997, PASJ, 49, 131
169. van de Weygaert, R. 1994, A&A, 283, 361
170. van de Weygaert, R. 2003, in Proc. Statistical Challenges in Modern Astronomy III, The Cosmic Foam: Stochastic Geometry and Spatial Clustering Across the Universe, ed. E. D. Feigelson & G. J. Babu (invited contribution; Berlin: Springer), 175
171. van de Weygaert, R., Jones, B. J. T., Platen, E., & Aragon-Calvo, M. A. 2009, in Int. Symp. on Voronoi Diagrams and Engineering (Los Alamitos, CA: IEEE), 3
172. van de Weygaert, R., & Schaap, W. 2009, in The Cosmic Web: Geometric Analysis, in Data Analysis in Cosmology, ed. V. J. Martinez, E. Saar, E. Martínez-González, & M.-J. Pons-Bordería (Lecture Notes in Physics, Vol. 665; Berlin: Springer), 291
173. Villmann, T., Der, R., Herrmann, M., & Martinetz, T. 1997, IEEE Trans. Neural Netw., 8, 256
174. Vogeley, M. S., Park, C., Geller, M. J., Huchra, J. P., & Gott, J. R. 1994, ApJ, 420, 525
175. Wright, T. 1750, An Original Theory or New Hypothesis of the Universe (New York: Elsevier), 1971
176. York, D. G., et al. 2000, AJ, 120, 1579
177. Yoshioka, S., & Ikeuchi, S. 1989, ApJ, 341, 16
178. Zehavi, I., et al. 2002, ApJ, 571, 172
179. Zehavi, I., et al. 2010, arXiv:1005.2413
180. Zel'dovich, Ya. B. 1970, A&A, 5, 84
181. Zel'dovich, Ya. B., Einasto, J., & Shandarin, S. F. 1982, Nature, 300, 407
182. Zhang, Y., Springel, V., & Yang, X. 2010, ApJ, 722, 812
183. Zwicky, F. 1957, PASP, 69, 518
184. Zwicky, F., Wield, P., Herzog, E., Karpowicz, M., & Kowal, C. T. 1961-1968, Catalogue of Galaxies and Clusters of Galaxies, Vol. 6 (Pasadena, CA: California Institute of Technology)