@article{AIHPB_1998__34_1_73_0,
author = {Davydov, Yu. and Vershik, A. M.},
title = {R\'earrangements convexes des marches al\'eatoires},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {73--95},
year = {1998},
publisher = {Gauthier-Villars},
volume = {34},
number = {1},
mrnumber = {1617717},
zbl = {0903.60006},
language = {fr},
url = {https://www.numdam.org/item/AIHPB_1998__34_1_73_0/}
}
TY - JOUR AU - Davydov, Yu. AU - Vershik, A. M. TI - Réarrangements convexes des marches aléatoires JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1998 SP - 73 EP - 95 VL - 34 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1998__34_1_73_0/ LA - fr ID - AIHPB_1998__34_1_73_0 ER -
Davydov, Yu.; Vershik, A. M. Réarrangements convexes des marches aléatoires. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 73-95. https://www.numdam.org/item/AIHPB_1998__34_1_73_0/
[A] , Statistics of integral convex polygons, Func. Anal. and its Appl., Vol. 14, 1980, p. 79-81. | Zbl | MR
[AV] et , A strong law of large numbers for random compact sets, Ann. Probab., Vol. 3, 1975, p. 879-882. | Zbl | MR
[AW] et , Almost sure oscillation of certain random processes, Preprint, 1995. | MR
[B] , Limit shape of convex lattice polygons, Discrete Comput., Vol. 13, 1995, p. 279-295. | Zbl | MR
[E] , Loi fonctionnelle du logarithme itéré pour les sommes réordonnées, Theor. Probab. and Appl., Vol. 35, 1990, p. 343-349. | Zbl
[F] , An introduction to probability theory and its applications, Vol. II, 1971, John Wiley, New York. | Zbl | MR
[GH] et , Characterization and domains of attraction of p-stable random compact sets, Ann. Probab., Vol. 13, 1985, p. 447-468. | Zbl | MR
[GHZ] , et , 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. | Zbl | MR
[KPS] , et , Interpolation des opérateurs linéaires, Moscou, Nauka, 1978. | Zbl
[Le] , Konvexe Mengen, VEB Deutscher Verlag, Berlin, 1980. | Zbl | MR
[L] , Infinitely divisible and stable measures on Banach spaces, Leipzig, Teubner, 1983. | Zbl | MR
[LG] , Some properties of planar brownian motion, Lecture Notes in Math., Vol. 1527, 1992. | Zbl | MR
[O] , A central limit theorem under metric entropy with L2-bracketing, Ann. Probab., Vol. 15, 1987, p. 897-919. | Zbl | MR
[SI] , The probabilistic approach to the analysis of statistics for convex polygonal lines, Func. Anal. and its Appl., Vol. 28, 1994, p. 108-113. | Zbl | MR
[S2] , Statistics of shocks in solutions of inviscid Burgers equation, Commun. Math. Phys., Vol. 148, 1992, p. 601-621. | Zbl | MR
[ST] et , Stable non-Gaussian Random Processes, Chapman & Hall, New York 1994, 632 p. | Zbl
[Sc] , Convex bodies: the Brunn-Minkowski theory, University Press, Cambridge, 1993, 490 p. | Zbl | MR
[V1] , The limit shape of lattice convex polygons and related topics, Funct. Anal. and its Appl., Vol. 28, 1994, N 1, 13-20. | Zbl | MR
[V2] , Statistics of the combinatorial partitions and its limit shape, Funct. Anal. and its Appl., Vol. 30, 1996, N 1. | MR
[Vi] , Asymptotics of random convex polygons,Zapiski Nauchnyh Seminarov PDMI, Vol. 223, Dynamical Systems et al. 1995, Nauka, (ed. A. M. VERSHIK). | Zbl
[W] , Sur les accroissements du processus de Wiener, C. R. Acad. Sci., Paris, T. 315, série 1, 1992, p. 1293-1296. | Zbl | MR
[Zh] , Réarrangements monotones et convexes des fonctions et processus stochastiques, Thèse de candidat, Université de Saint-Pétersbourg, Russie, 1995.





