Behavior of 1-dimensional reinforced random walk

Osaka Journal of Mathematics

Volumn 37, Issue 2, 2000, Pages 355-372

  Takeshima, Masaki ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039620966     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. K.L. Chung: Markov Chains with Stationary Transition Probabilities, 65-71, Springer, Berlin, 1960.
2. K.L. Chung: A course in Probability Theory, 126-127, Stanford Univ. 1968.
3. B. Davis: Reinforced Random Walk, Prob. Th. Rel. Fields. 84 (1990), 203-229.
4. B. Davis: Loss of Recurrence in Reinforced Random Walk, 179-188, Almost Everywhere Convergence, 1991.
5. P. Diaconis: Recent Progress on de Finetti's Notions of Exchangeability, Bayesian Statistics, 3 (1988), 111-125.
6. K. Ito: Introduction to probability theory, 186-188, Cambridge University Press, 1984.
7. R. Pemantle: Phase Transition in Reinforced Random Walk and RWRE on trees, The Annals of Prob. 16(3) (1988), 1229-1241.
8. T. Sellke: Reinforced Random Walk on the d-dimensional Integer Lattice, (1994), preprint.