Réarrangements convexes des marches aléatoires
Davydov, Yu. ; Vershik, A. M.
Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998), p. 73-95 / Harvested from Numdam
@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},
     volume = {34},
     year = {1998},
     pages = {73-95},
     mrnumber = {1617717},
     zbl = {0903.60006},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIHPB_1998__34_1_73_0}
}
Davydov, Yu.; Vershik, A. M. Réarrangements convexes des marches aléatoires. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) pp. 73-95. http://gdmltest.u-ga.fr/item/AIHPB_1998__34_1_73_0/

[A] V.I. Arnold, Statistics of integral convex polygons, Func. Anal. and its Appl., Vol. 14, 1980, p. 79-81. | MR 575199 | Zbl 0447.52011

[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. | MR 385966 | Zbl 0313.60012

[AW] J.-M. Azaïs et M. Wschebor, Almost sure oscillation of certain random processes, Preprint, 1995. | MR 1416866

[B] I. Barany, Limit shape of convex lattice polygons, Discrete Comput., Vol. 13, 1995, p. 279-295. | MR 1318778 | Zbl 0824.52001

[E] V.A. Egorov, Loi fonctionnelle du logarithme itéré pour les sommes réordonnées, Theor. Probab. and Appl., Vol. 35, 1990, p. 343-349. | Zbl 0723.60031

[F] W. Feller, An introduction to probability theory and its applications, Vol. II, 1971, John Wiley, New York. | MR 270403 | Zbl 0219.60003

[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. | MR 781416 | Zbl 0575.60014

[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. | MR 707513 | Zbl 0521.60022

[KPS] S.G. Krein, Yu.I. Petunin et E.M. Semenov, Interpolation des opérateurs linéaires, Moscou, Nauka, 1978. | Zbl 0499.46044

[Le] K. Leichtweiss, Konvexe Mengen, VEB Deutscher Verlag, Berlin, 1980. | MR 586235 | Zbl 0427.52001

[L] W. Linde, Infinitely divisible and stable measures on Banach spaces, Leipzig, Teubner, 1983. | MR 758255 | Zbl 0526.28011

[LG] J.-F. Le Gall, Some properties of planar brownian motion, Lecture Notes in Math., Vol. 1527, 1992. | MR 1229519 | Zbl 0779.60068

[O] M. Ossiander, A central limit theorem under metric entropy with L2-bracketing, Ann. Probab., Vol. 15, 1987, p. 897-919. | MR 893905 | Zbl 0665.60036

[SI] 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. | MR 1283251 | Zbl 0832.60099

[S2] Ya.G. Sinai, Statistics of shocks in solutions of inviscid Burgers equation, Commun. Math. Phys., Vol. 148, 1992, p. 601-621. | MR 1181071 | Zbl 0755.60105

[ST] G. Samorodnitsky et Murad S. Taqqu, Stable non-Gaussian Random Processes, Chapman & Hall, New York 1994, 632 p. | Zbl 0925.60027

[Sc] R. Schneider, Convex bodies: the Brunn-Minkowski theory, University Press, Cambridge, 1993, 490 p. | MR 1216521 | Zbl 0798.52001

[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. | MR 1275724 | Zbl 0848.52004

[V2] A.M. Vershik, Statistics of the combinatorial partitions and its limit shape, Funct. Anal. and its Appl., Vol. 30, 1996, N 1. | MR 1402079

[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). | Zbl 0887.60018

[W] M. Wshebor, Sur les accroissements du processus de Wiener, C. R. Acad. Sci., Paris, T. 315, série 1, 1992, p. 1293-1296. | MR 1194538 | Zbl 0770.60075

[Zh] E.E. Zhukova, Réarrangements monotones et convexes des fonctions et processus stochastiques, Thèse de candidat, Université de Saint-Pétersbourg, Russie, 1995.