@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}, pages = {557--592}, publisher = {Gauthier-Villars}, volume = {28}, number = {4}, year = {1992}, mrnumber = {1193085}, zbl = {0767.60061}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1992__28_4_557_0/} }
TY - JOUR AU - Benjamini, Itai AU - Peres, Yuval TI - Random walks on a tree and capacity in the interval JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1992 SP - 557 EP - 592 VL - 28 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1992__28_4_557_0/ LA - en ID - AIHPB_1992__28_4_557_0 ER -
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) no. 4, pp. 557-592. http://www.numdam.org/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 | Zbl
,[C] Selected Problems on Exceptional Sets, Van Nostrand, 1967. | MR | Zbl
,[Ca] Fonctions harmoniques sur un arbre, Symposia Math., Vol. 9, 1972, pp. 203-270. | MR | Zbl
,[DS] Random Walks and Electrical Networks, Carus Math. Monographs (1981). | Zbl
and ,[Fr] Potentiel d'équilibre et capacité des ensembles, Thesis, Lund, 1935. | JFM | Zbl
,[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 | Zbl
,[G] Sur les groupes hyperboliques d'après Mikhael Gromov, preprint.
, and ,[K] Some Random Series of Functions, 2nd Ed., Cambridge University press, 1985. | MR | Zbl
,[Kak] Two-dimensional Brownian Motion and Harmonic Functions, Proc. Imperial. Acad., Tokyo, Vol. 20, 1944, pp. 706-714. | MR | Zbl
,[Ki] A Lower Bound for Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds, preprint, 1989. | MR
,[KL] Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds, preprint, 1988. | MR
and ,[KSK] Denumerable Markov Chains, 2nd Ed., Springer Verlag, 1976. | MR | Zbl
, and ,[L1] Transience of Reversible Markov Chains, Ann. of Probability, Vol. 11, 2, 1983, pp. 393-402. | MR | Zbl
,[L2] Random Walks and Percolation on Trees, Ann. of Probability, Vol. 18, 3, 1990, pp. 931-958. | MR | Zbl
,[M] Les Cantors reguliers, C. R. Acad. Sci. Paris, t. 30, Series I, 1987, pp. 673-675. | MR | Zbl
,[N] Random Walks and Electric Currents in Networks, Proc. Camb. Phil. Soc., Vol. 55, 1959, pp. 181-194. | MR | Zbl
,[Ta] The Measure Theory of Random Fractals, Math. Proc. Camb. Phil. Soc., Vol. 100, 1986, pp. 383-406. | MR | Zbl
,[Ts] Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959. | MR | Zbl
,[W] Potential Theory, Springer Lecture Notes in Mathematics, No. 408, Springer Verlag, 1974. | MR | Zbl
,