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Serbian Astronomical Journal
2010, br. 181, str. 19-29
jezik rada: engleski
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doi:10.2298/SAJ1081019Z

Praktične statistike za praznine između galaksija
Dipartimento di Fisica Generale, Torino, Italy

e-adresa: zaninett@ph.unito.it

Sažetak

Međugalaktičke praznine su identifikovane zapreminama iz Poason-Voronoj formalizma. Izvedene su dve nove funkcije zavisnosti broja praznina od njihovog radijusa. 2D projekcija Poason-Voronoj mozaika je modelirana Kiangovom funkcijom i eksponencijalnom funkcijom. Na taj način su proizvedene dve nove funkcije broja praznina kao alternativa za funkcije izvedene iz 'samo-sličnih' distribucija. Simulirane su 2D projekcije iz posmatračkog kataloga 2dF Galaxy Redshift Survey.

Ključne reči

Reference

Aurenhammer, F., Klein, R. (2000) Voronoi diagrams. u: Sack J.R., Urrutia J. (ur.) Handbook of Computational Geometry, Amsterdam: North-Holland, str. 201-290
Barrow, J.D., Coles, P. (1990) Mon. Not. R. Astron. Soc, 244, 188
Behr, A. (1951) Zur Entfernungsskala der extragalaktischen Nebel. Astronomische Nachrichten, 279(3): 97-104
Bernardeau, F., van de Weygaert, R. (1996) Mon. Not. R. Astron. Soc, 279, 693
Chiu, S.N., Weygaert, R.V., Stoyan, D. (1996) The sectional Poisson Voronoi tessellation is not a Voronoi tessellation. Adv. in Appl. Probab., 28(2): 356
Coles, P. (1991) Voronoi cosmology. Nature, 349(6307): 288-288
Colless, M., Dalton, G., Maddox, S., Sutherland, W., Norberg, P., Cole, S., Bland-Hawthorn, J., Bridges, T., Cannon, R., Collins, C., Couch, W., Cross, N., Deeley, K., de Propris, R., Driver, S.P. (2001) The 2dF Galaxy Redshift Survey: spectra and redshifts. Monthly Notices of the Royal Astronomical Society, 328(4): 1039-1063
Descartes, R. (1644) Principia Philosophiae. Amsterdam: Ludovicus Elzevirius
Ebeling, H., Wiedenmann, G. (1993) Detecting structure in two dimensions combining Voronoi tessellation and percolation. Physical Review E, 47(1): 704-710
Einasto, J., Hutsi, G., Einasto, M., Saar, E., Tucker, D.L., Maller, V., Heinmkii, P., Allam, S.S. (2003) Clusters and superclusters in the Sloan Digital Sky Survey. Astronomy and Astrophysics, 405(2): 425-443
Eke, V.R., Frenk, C.S., Baugh, C.M., Cole, S., Norberg, P., Peacock, J.A., Baldry, I.K., Bland-Hawthorn, J., Bridges, T., Cannon, R., Colless, M., Collins, C., Couch, W., Dalton, G., de Propris, R., Driver, S.P. (2004) Galaxy groups in the Two-degree Field Galaxy Redshift Survey: the luminous content of the groups. Monthly Notices of the Royal Astronomical Society, 355(3): 769-784
Elyiv, A., Melnyk, O., Vavilova, I. (2009) High-order 3D Voronoi tessellation for identifying isolated galaxies, pairs and triplets. Monthly Notices of the Royal Astronomical Society, 394(3): 1409-1418
Ferenc, J., Neda, Z. (2007) On the size distribution of Poisson Voronoi cells. Physica A: Statistical Mechanics and its Applications, 385(2): 518-526
Geller, M.J., Huchra, J.P. (1989) Mapping the universe. Science (New York, N.Y.), 246(4932): 897-903
Goldwirth, D.S., da Costa, L.N., van de Weygaert, R. (1995) Mon. Not. R. Astron. Soc, 275, 1185
Hinde, A.L., Miles, R.E. (1980) Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process. Journal of Statistical Computation and Simulation, 10(3): 205-223
Ikeuchi, S., Turner, E.L. (1991) Mon. Not. R. Astron. Soc, 250, 519
Jones, D.H., Saunders, W., Colless, M., Read, M.A., Parker, Q.A.E. (2004) Mon. Not. R. Astron. Soc., 355, 747
Kiang, T. (1966) Zeitschrift fur Astrophysik, 64, 433
Madgwick, D.S., Lahav, O., Baldry, I.K., Baugh, C.M., Bland-Hawthorn, J., Bridges, T., Cannon, R., Cole, S., Colless, M., Collins, C., Couch, W., Dalton, G., de Propris, R., Driver, S.P., Efstathiou, G. (2002) The 2dF Galaxy Redshift Survey: galaxy luminosity functions per spectral type. Monthly Notices of the Royal Astronomical Society, 333(1): 133-144
Malmquist, K. (1920) Lund Medd, Ser. II, 22, 1
Malmquist, K. (1922) Lund Medd, Ser. I, 100, 1
Marinoni, C., Davis, M., Newman, J.A., Coil, A.L. (2002) Astrophys. J., 580, 122
Melnyk, O.V., Elyiv, A.A., Vavilova, I.B. (2006) Kinematika i Fizika Nebesnykh Tel, 22, 283
Norberg, P., Baugh, C.M., Hawkins, E., Maddox, S., Madgwick, D., Lahav, O., Cole, S., Frenk, C.S., Baldry, I., Bland-Hawthorn, J., Bridges, T., Cannon, R., Colless, M., Collins, C., Couch, W., Dalton, G. (2002) The 2dF Galaxy Redshift Survey: the dependence of galaxy clustering on luminosity and spectral type. Monthly Notices of the Royal Astronomical Society, 332(4): 827-838
Okabe, A., Boots, B., Sugihara, K. (1992) Spatial tessellations: Concepts and applications of voronoi diagrams. Chichester, NY: Wiley
Padmanabhan, P. (2002) Theoretical Astrophysics. Vol. III: Galaxies and Cosmology. Cambridge: Cambridge University Press
Padmanabhan, T. (1996) Cosmology and Astrophysics through Problems. Cambridge: Cambridge University Press
Patiri, S.G., Betancort-Rijo, J.E., Prada, F., Klypin, A., Gottlober, S. (2006) Statistics of voids in the two-degree Field Galaxy Redshift Survey. Monthly Notices of the Royal Astronomical Society, 369(1): 335-348
Pierre, M. (1990) Astron. Astrophys, 229, 7
Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P. (1992) Numerical recipes in Fortran: The art of scientific computing. Cambridge, itd: Cambridge University Press / CUP
Sandage, A., Tammann, A., Saha, G.A., i dr. (2006) Astrophys. J.,, 653, 843
Schaap, W.E., van de Weygaert, R. (2000) Astron. Astrophys, 363, L29
Schechter, P. (1976) Astrophys. J., 203, 297
Spergel, D.N., Bean, R., Dore, O., Nolta, M.R., Bennett, C.L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., Peiris, H.V., Verde, L., Halpern, M., Hill, R.S., Kogut, A., Limon, M., Meyer, S.S., Odegard, N., Tucker, G.S., Weiland, J.L., Wollack, E. (2007) Astrophysical Journal Supplement Series, 170(2): 377-408
Subba, R.M.U., Szalay, A.S. (1992) Statistics of pencil beams in Voronoi foams. Astrophysical Journal, 391: 483
Tanemura, M. (2003) Statistical distributions of Poisson Voronoi cells in two and three dimensions. Forma, 18(4): 221
Tempel, E., Einasto, J., Einasto, M., Saar, E., Tago, E. (2009) Anatomy of luminosity functions: the 2dFGRS example. Astronomy and Astrophysics, 495(1): 37-51
Tikhonov, A.V. (2007) Voids in the SDSS galaxy survey. Astronomy Letters, 33(8): 499-511
Tinker, J.L., Conroy, C., Norberg, P., Patiri, S.G., Weinberg, D.H., Warren, M.S. (2008) Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation of Field Galaxies Depend on Environment?. Astrophysical Journal, 686(1): 53-71
van de Weygaert, R. (1991) Mon. Not. R. Astron. Soc, 249, 159
van de Weygaert, R. (1991) Leiden: University, Ph. D. thesis
van de Weygaert, R. (1994) Astron. Astrophys, 283, 361
van de Weygaert, R. (2002) arXiv:astro-ph/0206427
van de Weygaert, R. (2003) Statistics of galaxy clustering: Commentary. u: Statistical Challenges in Astronomy, 156
van de Weygaert, R., Icke, V. (1989) Astron. Astrophys, 213, 1
van de Weygaert, R., Schaap, W. (2009) u: Martinez V.J., E. Saar, E.M. Gonzales, M. J. Pons-Borderia (ur.) Lecture Notes in Physics, Berlin: Springer Verlag
von Benda-Beckmann, A.M., Muller, V. (2008) Void statistics and void galaxies in the 2dF Galaxy Redshift Survey. Monthly Notices of the Royal Astronomical Society, 384(3): 1189-1199
Voronoi, G. (1907) J. Reine Angew. Math, 133, 97
Voronoi, G. (1908) J. Reine Angew. Math, 134, 198
Zaninetti, L. (1991) Astron. Astrophys, 246, 291
Zaninetti, L. (2006) Chinese J. Astron. Astrophys, 6, 387
Zaninetti, L. (2008) Acta Physica Polonica B, 39, 1467
Zaninetti, L. (2010) Revista Mexicana de Astronomia y Astrofisica, 46, 115