Sylvester's question and the random acceleration process

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 10, 2008, Pages

  Hilhorst, H J ^a   Calka, P ^b   Schehr, G ^a  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Brownian motion; Exact results; New applications of statistical mechanics; Stochastic processes (theory)

Indexed keywords

EID: 56349124269     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/10/P10010     Document Type: Article

References (22)

1. Sylvester J J 1864 Problem 1491 The Educational Times (April) (London: College of Preceptors)
2. Valtr P 1995 Discrete Comput. Geom. 13 637
3. Valtr P 1996 Combinatorica 16 567
4. Brny I 1999 Ann. Probab. 27 2020
5. Hilhorst H J 2005 J. Stat. Mech. L02003
6. Hilhorst H J 2005 J. Stat. Mech. P09005
7. Hilhorst H J 2008 Proc. Statphys 23 (Genoa, July 2007) Eur. Phys. J. B 64 437
8. Hilhorst H J and Calka P 2008 J. Stat. Phys. 132 627 [arXiv:0802.1869]
9. Calka P and Schreiber T 2005 Ann. Probab. 33 1625
10. Györgyi G, Moloney N R, Ozogny K and Rcz Z 2007 Phys. Rev. E 75 021123
11. Wendel J G 1962 Math. Scand. 11 109
12. Calka P 2003 Adv. Appl. Probab. 35 863
13. Schneider R 1993 Convex bodies: the Brunn-Minkowski Theory (Cambridge: Cambridge University Press)
14. Hilhorst H J 2007 J. Phys. A: Math. Theor. 40 2615
15. Foltin G, Oerding K, Rcz Z, Workman R and Zia R K P 1994 Phys. Rev. E 50 R639
16. Burkhardt T W 1993 J. Phys. A: Math. Gen. 26 L1157
17. Majumdar S and Comtet A 2004 Phys. Rev. Lett. 92 225501
18. Majumdar S and Comtet A 2005 J. Stat. Phys. 119 777
19. Burkhardt T W, Györgyi G, Moloney N R and Rcz Z 2007 Phys. Rev. E 76 041119
20. Khoshnevisan D and Shi Z 1998 Trans. Am. Math. Soc. 350 4253
21. Chen X and Li W V 2003 Ann. Probab. 31 1052
22. Buchta C 2006 Mathematika 53 247