Invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 80, Issue 8, 2009, Pages

  Pogosyan, Dmitry ^a   Gay, Christophe ^b   Pichon, Christophe ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449657150     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.80.081301     Document Type: Article

References (15)

1. R.J. Adler, The Geometry of Random Fields (Wiley, New York, 1981).
2. A.G. Doroshkevich, Astrofizica 6, 581 (1970).
3. J.M. Bardeen, J.R. Bond, N. Kaiser, and A.S. Szalay, Astrophys. J. 304, 15 (1986). 10.1086/164143 ASJOAB 0004-637X
4. J.R. Bond, L. Kofman, and D. Pogosyan, Nature (London) 380, 603 (1996). 10.1038/380603a0 NATUAS 0028-0836
5. J.R.I. Gott, Publ. Astron. Soc. Pac. 100, 1307 (1988). 10.1086/132324 PASPAU 0004-6280
6. T. Matsubara, Astrophys. J. Lett. 434, L43 (1994). 10.1086/187570 AJLEEY 0004-637X
7. T. Matsubara, Astrophys. J. 584, 1 (2003). 10.1086/345521 ASJOAB 0004-637X
8. S. Colombi, D. Pogosyan, and T. Souradeep, Phys. Rev. Lett. 85, 5515 (2000). 10.1103/PhysRevLett.85.5515 PRLTAO 0031-9007
9. K.R. Mecke, T. Buchert, and H. Wagner, Astron. Astrophys. 288, 697 (1994). AAEJAF 0004-6361
10. D. Novikov, S. Colombi, and O. Doré, Mon. Not. R. Astron. Soc. 366, 1201 (2006). MNRAA4 0035-8711
11. D. Pogosyan, Mon. Not. R. Astron. Soc. 396, 635 (2009). 10.1111/j.1365-2966.2009.14753.x MNRAA4 0035-8711
12. J.M. Chambers, Biometrika 54, 367 (1967). BIOKAX 0006-3444
13. C. Gay, C. Pichon, and D. Pogosyan (unpublished).
14. J.R. Gott, Y.-Y. Choi, C. Park, and J. Kim, Astrophys. J. Lett. 695, L45 (2009). 10.1088/0004-637X/695/1/L45 AJLEEY 0004-637X
15. C. Park, Astrophys. J. 633, 11 (2005). 10.1086/452625 ASJOAB 0004-637X