Réarrangements convexes des marches aléatoires

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 34, Issue 1, 1998, Pages 73-95

  Davydov, Yu ^a   Vershik, A M ^b  

^a UNIV LILLE   (France)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002242980     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(98)80019-8     Document Type: Article

References (22)

1. [A] V. I. ARNOLD, Statistics of integral convex polygons, Func. Anal. and its Appl., Vol. 14, 1980, p. 79-81.
2. [AV] Z. ARTSTEIN et R. A. VITALE, A strong law of large numbers for random compact sets, Ann. Probab., Vol. 3, 1975, p. 879-882.
3. [AW] J.-M. AZAÏS et M. WSCHEBOR, Almost sure oscillation of certain random processes. Preprint, 1995.
4. [B] I. BARANY, Limit shape of convex lattice polygons, Discrete Comput., Vol. 13, 1995, p. 279-295.
5. [E] V. A. EGOROV, Loi fonctionnelle du logarithme itéré pour les sommes réordonnées, Theor. Probab. and Appl., Vol. 35, 1990, p. 343-349.
6. [F] W. FELLER, An introduction to probability theory and its applications, Vol. II, 1971, John Wiley, New York.
7. [GH] E. GINÉ et M. HAHN, Characterization and domains of attraction of p-stable random compact sets, Ann. Probab., Vol. 13, 1985, p. 447-468.
8. [GHZ] E. GINÉ, M. HAHN et J. ZINN, Limit theorems for random sets: an application of probability in Banach space results, Lect. Notes in Math., Vol. 990, 1983, p. 112-135, Springer, New York.
9. [KPS] S. G. KREIN, Yu. I. PETUNIN et E. M. SEMENOV, Interpolation des opérateurs linéaires, Moscou, Nauka, 1978.
10. [Le] K. LEICHTWEISS, Konvexe Mengen, VEB Deutscher Verlag, Berlin, 1980.
11. [L] W. LINDE, Infinitely divisible and stable measures on Banach spaces, Leipzig, Teubner, 1983.
12. [LG] J.-F. LE GALL, Some properties of planar brownian motion, Lecture Notes in Math., Vol. 1527, 1992.
13. 2-bracketing, Ann. Probab., Vol. 15, 1987, p. 897-919.
14. [S 1 ] Ya. G. SINAI, The probabilistic approach to the analysis of statistics for convex polygonal lines, Func. Anal, and its Appl., Vol. 28, 1994, p. 108-113.
15. [S2] Ya. G. SINAI, Statistics of shocks in solutions of inviscid Burgers equation, Commun. Math. Phys., Vol. 148, 1992, p. 601-621.
16. [ST] G. SAMORODNITSKY et Murad S. TAQQU, Stable non-Gaussian Random Processes, Chapman & Hall, New York 1994, 632 p.
17. [Sc] R. SCHNEIDER, Convex bodies: the Brunn-Minkowski theory, University Press, Cambridge, 1993, 490 p.
18. [V1] A. M. VERSHIK, The limit shape of lattice convex polygons and related topics, Funct. Anal. and its Appl., Vol. 28, 1994, N 1, 13-20.
19. [V2] A. M. VERSHIK, Statistics of the combinatorial partitions and its limit shape, Funct. Anal. and its Appl., Vol. 30, 1996, N 1.
20. [Vi] B. N. VILKOV, Asymptotics of random convex polygons,Zapiski Nauchnyh Seminarov PDMI, Vol. 223, Dynamical Systems et al. 1995, Nauka, (ed. A. M. VERSHIK).
21. [W] M. WSHEBOR, Sur les accroissements du processus de Wiener, C. R. Acad. Sci., Paris, T. 315, série 1, 1992, p. 1293-1296.
22. [Zh] E. E. ZHUKOVA, Réarrangements monotones et convexes des fonctions et processus stochastiques, Thèse de candidat, Université de Saint-Pétersbourg, Russie, 1995.