@article{AIHPB_1992__28_4_557_0, author = {Benjamini, Itai and Peres, Yuval}, title = {Random walks on a tree and capacity in the interval}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {28}, year = {1992}, pages = {557-592}, mrnumber = {1193085}, zbl = {0767.60061}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1992__28_4_557_0} }
Benjamini, Itai; Peres, Yuval. Random walks on a tree and capacity in the interval. Annales de l'I.H.P. Probabilités et statistiques, Tome 28 (1992) pp. 557-592. http://gdmltest.u-ga.fr/item/AIHPB_1992__28_4_557_0/
[A] Negatively Curved Manifolds, Elliptic Operators and the Martin Boundary, Ann. of Math., Vol. 125, 1987, pp. 495-536. | MR 890161 | Zbl 0652.31008
,[C] Selected Problems on Exceptional Sets, Van Nostrand, 1967. | MR 225986 | Zbl 0189.10903
,[Ca] Fonctions harmoniques sur un arbre, Symposia Math., Vol. 9, 1972, pp. 203-270. | MR 353467 | Zbl 0283.31005
,[DS] Random Walks and Electrical Networks, Carus Math. Monographs (1981). | Zbl 0583.60065
and ,[Fr] Potentiel d'équilibre et capacité des ensembles, Thesis, Lund, 1935. | JFM 61.1262.02 | Zbl 0013.06302
,[Fu] Intersections of Cantor Sets and Transverality of Semigroups, in Problems in Analysis, a symposium in honor of S. Bochner, R. C. GUNNING Ed., Princeton University press, 1970, pp. 41-59. | MR 354562 | Zbl 0208.32203
,[G] Sur les groupes hyperboliques d'après Mikhael Gromov, preprint.
, and ,[K] Some Random Series of Functions, 2nd Ed., Cambridge University press, 1985. | MR 833073 | Zbl 0571.60002
,[Kak] Two-dimensional Brownian Motion and Harmonic Functions, Proc. Imperial. Acad., Tokyo, Vol. 20, 1944, pp. 706-714. | MR 14647 | Zbl 0063.03107
,[Ki] A Lower Bound for Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds, preprint, 1989. | MR 1088826
,[KL] Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds, preprint, 1988. | MR 951889
and ,[KSK] Denumerable Markov Chains, 2nd Ed., Springer Verlag, 1976. | MR 407981 | Zbl 0348.60090
, and ,[L1] Transience of Reversible Markov Chains, Ann. of Probability, Vol. 11, 2, 1983, pp. 393-402. | MR 690136 | Zbl 0509.60067
,[L2] Random Walks and Percolation on Trees, Ann. of Probability, Vol. 18, 3, 1990, pp. 931-958. | MR 1062053 | Zbl 0714.60089
,[M] Les Cantors reguliers, C. R. Acad. Sci. Paris, t. 30, Series I, 1987, pp. 673-675. | MR 802649 | Zbl 0582.54019
,[N] Random Walks and Electric Currents in Networks, Proc. Camb. Phil. Soc., Vol. 55, 1959, pp. 181-194. | MR 124932 | Zbl 0100.13602
,[Ta] The Measure Theory of Random Fractals, Math. Proc. Camb. Phil. Soc., Vol. 100, 1986, pp. 383-406. | MR 857718 | Zbl 0622.60021
,[Ts] Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959. | MR 114894 | Zbl 0087.28401
,[W] Potential Theory, Springer Lecture Notes in Mathematics, No. 408, Springer Verlag, 1974. | MR 454033 | Zbl 0297.31001
,