Random walks in varying dimensions

Journal of Theoretical Probability

Volumn 9, Issue 1, 1996, Pages 231-244

  Benjamini, Itai ^a   Pemantle, Robin ^b   Peres, Yuval ^c  

^a Mathematical Sciences Institute   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

0 1 law; Markov chains; Transient random walks

Indexed keywords

EID: 21844521834     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02213742     Document Type: Article

References (6)

1. Benjamini, I., Pemantle, R., and Peres, Y. (1994). Martin capacity for Markov chains. Ann. Probab., (to appear).
2. Durrett, R., Kesten, H., and Lawler, G. (1991). Making money in fair games. In: Random walks, particle systems and percolation, Durrett, and Kesten, (eds.), Birkhäuser: New York.
3. Kochen, S. and Stone, C. (1964). A note on the Borel-Cantelli Lemma. Illinois J. of Math. 8, 248-251.
4. Lyons, T. (1983). Transience of reversible Markov chains. Ann. Prob. 11, 393-402.
5. Scott, D. (1990). A non-integral-dimensional random walk. J. Th. Prob. 3, 1-7.
6. Spitzer, F. (1964). Principles of Random Walk. Van Nostrand, New York.