@article{AIHPB_2003__39_4_621_0, author = {Blach\`ere, S\'ebastien}, title = {Cut times for random walks on the discrete {Heisenberg} group}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {621--638}, publisher = {Elsevier}, volume = {39}, number = {4}, year = {2003}, doi = {10.1016/S0246-0203(03)00017-7}, mrnumber = {1983173}, zbl = {1022.60004}, language = {en}, url = {http://www.numdam.org/articles/10.1016/S0246-0203(03)00017-7/} }
TY - JOUR AU - Blachère, Sébastien TI - Cut times for random walks on the discrete Heisenberg group JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2003 SP - 621 EP - 638 VL - 39 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S0246-0203(03)00017-7/ DO - 10.1016/S0246-0203(03)00017-7 LA - en ID - AIHPB_2003__39_4_621_0 ER -
%0 Journal Article %A Blachère, Sébastien %T Cut times for random walks on the discrete Heisenberg group %J Annales de l'I.H.P. Probabilités et statistiques %D 2003 %P 621-638 %V 39 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/S0246-0203(03)00017-7/ %R 10.1016/S0246-0203(03)00017-7 %G en %F AIHPB_2003__39_4_621_0
Blachère, Sébastien. Cut times for random walks on the discrete Heisenberg group. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 4, pp. 621-638. doi : 10.1016/S0246-0203(03)00017-7. http://www.numdam.org/articles/10.1016/S0246-0203(03)00017-7/
[1] G. Alexopoulos, Random walks on discrete groups of polynomial volume growth, Preprint. | MR
[2] The degree of polynomial growth of finitely generated nilpotent groups, Proc. London Math. Soc. (3) 25 (1972) 603-614. | MR | Zbl
,[3] S. Blachère, Thèse de doctorat, Université Paul Sabatier, 2000.
[4] Sur les représentations unitaries des groupes de Lie nilpotents. III, Canad. J. Math. 10 (1958) 321-348. | MR | Zbl
,[5] A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79 (1973) 373-376. | MR | Zbl
,[6] Principe de moindre action, propagation de la chaleur, et estimées sous-elliptiques sur certains groupes nilpotents, Acta Math. 139 (1977) 96-153. | MR | Zbl
,[7] Groups of polynomial growth and expanding maps, Publ. Math. IHES 53 (1981) 53-73. | Numdam | MR | Zbl
,[8] Nilpotent Groups, Queen Mary College Math. Notes, 1969. | MR | Zbl
,[9] Gaussian estimates for Markov chains and random walks on groups, Ann. Probab. 21 (1993) 673-709. | MR | Zbl
, ,[10] N. James, Ph.D. Dissertation, University of California, Berkeley, 1996.
[11] Cutpoints and exchangeable events for random walks, Teor. Veroyatnost. i Primenen. 41 (4) (1996) 854-868, translation in , Theory Probab. Appl. 41 (1997) 666-677. | MR | Zbl
, ,[12] A note on the Borel-Cantelli lemma, Illinois J. Math. 8 (1964) 248-251. | Zbl
, ,[13] Intersections of Random Walks, Birkhäuser, 1991. | MR | Zbl
,[14] On a class of homogeneous spaces, Amer. Math. Soc. Transl. 1951 (39) (1951) 276-307. | MR | Zbl
,[15] Analysis and Geometry on Groups, Cambridge University Press, Cambridge, 1992. | MR | Zbl
, , ,Cité par Sources :