References
P. Cartier, Fonctions harmoniques sur un arbre. Symposia Math.9, 203–270 (1972).
K. L.Chung, Markov chains with stationary transition probabilities. Berlin-Heidelberg-New York 1967.
P. Gerl, Continued fraction methods for random walks on ℕ and on trees. In “Probability Measures on Groups”, LNM1064, 131–146, Berlin-Heidelberg-New York 1984.
P.Gerl, Rekurrente und transiente Bäume. In: Séminaire Lotharingien de Combinatoire10, IRMA Strasbourg 80–87 (1984).
P.Gerl and W.Woess, Simple random walks on trees. To appear, European J. Combinatorics.
T. Lyons, A simple criterion for transience of a Markov chain. Ann. Probab.11, 393–402 (1983).
H. S.Wall, Analytic Theory of Continued Fractions. Toronto 1948.
W. Woess, Random walks and periodic continued fractions. Adv. Appl. Probab.17, 67–84 (1985).
Author information
Authors and Affiliations
Additional information
Partially supported by CNR, GNAFA (Italy).
Rights and permissions
About this article
Cite this article
Woess, W. Transience and volumes of trees. Arch. Math 46, 184–192 (1986). https://doi.org/10.1007/BF01197498
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197498