Beyond genus statistics: A unifying approach to the morphology of cosmic structure

Astrophysical Journal

Volumn 482, Issue 1 PART II, 1997, Pages

  Schmalzing, Jens ^a,b   Buchert, Thomas ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

Author keywords

Large scale structure of universe; Methods: statistical

Indexed keywords

EID: 33645625216     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/310680     Document Type: Article

References (32)

1. Adler, R. J. 1981, The Geometry of Random Fields (Chichester: Wiley)
2. Buchert, T. 1995, in 11th Potsdam Workshop on Large-Scale Structure in the Universe, ed. J. Mücket, S. Gottlöber, & V. Müller (Singapore: World Scientific), 156
3. Coles, P., Davies, A., & Pearson, R. C. 1996, MNRAS, 281, 1375
4. Colley, W. N., Gott, J. R., III, & Park, C. 1996, MNRAS, 281, L82
5. Crofton, M. W. 1868, Philos. Trans. R. Soc. London, A, 158, 181
6. Doroshkevich, A. G. 1970, Astrophysics, 6, 320
7. Hadwiger, H. 1957, Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Berlin: Springer)
8. Kerscher, M., Schmalzing, J., & Buchert, T. 1996, in Mapping, Measuring, and Modeling the Universe, ed. P. Coles, V. Martíncz, & M. J. Pons Bordería (San Francisco: ASP), 247
9. Kerscher, M., Schmalzing, J., Buchert, T., & Wagner, H. 1997a, in preparation
10. Kerscher, M., et al. 1997b, MNRAS, 284, 73
11. Klain, D. A. 1995, Mathematika, 42, 329
12. Koenderink, J. J. 1984, Biol. Cybern., 50, 363
13. Matsubara, T., & Suto, Y. 1996, ApJ, 460, 51
14. Mecke, K., Buchert, T., & Wagner, H. 1994, A&A, 288, 697
15. Mecke, K., & Wagner, H. 1991, J. Stat. Phys., 64, 843
16. Melott, A. L. 1990, Phys. Rep., 193, 1
17. Minkowski, H. 1903, Math. Ann., 57, 447
18. Morse, M., & Cairns, S. S. 1969, Critical Point Theory in Global Analysis and Differential Topology (New York: Academic)
19. Ryden, B. S., Melott, A. L., Craig, D. A., Gott, J. R., III, Weinberg, D. H., Scherrer, R. J., Bhavsar, S. P., & Miller, J. M. 1989, ApJ, 340, 647
20. Santaló, L. A. 1976, Integral Geometry and Geometric Probability (Reading, MA: Addison-Wesley)
21. Schmalzing, J. 1996, Diplomarbeit, Ludwig-Maximilians-Universität, München
22. Schmalzing, J., Kerscher, M., & Buchert, T. 1995, in Proc. Int. School of Physics Enrico Fermi, Course CXXXII, Dark Matter in the Universe, ed. S. Bonometto, J. Primack, & A. Provenzale (Varenna sul Lago di Como: Soc. Italiana di Fisica)
23. Schneider, R. 1993, Convex Bodies: The Brunn-Minkowski Theory (Cambridge: Cambridge Univ. Press)
24. Seto, N., Yokoyama, J., Matsubara, T., & Siino, M. 1997, ApJS, in press
25. Smoot, G. F., Tenorio, L., Banday, A. J., Kogut, A., Wright, E. L., Hinshaw, G., & Bennett, C. L. 1994, ApJ, 437, 1
26. Stratonovich, R. L. 1963, Topics in the Theory of Random Noise, Vol. 1 (New York: Gordon & Breach)
27. ter Haar Romeny, B. M., Florack, L. M. J., Koenderink, J. J., & Viergever, M. A. 1991, in Lecture Notes in Computer Science, Vol. 511, Scale Space: Its Natural Operators and Differential Invariants (Berlin: Springer), 239
28. Tomita, H. 1990, in Formation, Dynamics, and Statistics of Patterns, ed. K. Kawasaki, M. Suzuki, & A. Onuki, Vol. 1 (Singapore: World Scientific), 113
29. Torres, S., Cayón, L., Martínez-Gonzalez, E., & Sanz, J. L. 1995, MNRAS, 274, 853
30. Weil, W. 1983, in Convexity and Its Applications, ed. P. M. Gruber & J. M. Wills (Basel: Birkhäuser), 360
31. Weinberg, D. H., Gott, J. R., III, & Melott, A. L. 1987, ApJ, 321, 2
32. White, S. D. M. 1979, MNRAS, 186, 145