Excited random walk on trees

Electronic Journal of Probability

Volumn 8, Issue , 2003, Pages 1-15

  Volkov, Stanislav ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Perturbed random walk; Reinforced random walk

Indexed keywords

EID: 10644234489     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v8-180     Document Type: Article

References (11)

1. Alon, N., Spencer, J.H.(1992). The probabilistic method. John Wiley and Sons, Inc., New York.
2. Benjamini, I., Wilson, D. (2003). Excited random walk. Electron. Comm. Probab. 86-92.
3. Bhattacharya, R., Waymire, E. (1990) Stochastic Processes with Applications. John Wiley and Sons, New York.
4. Davis, B. (1990). Reinforced random walk. Prob. Th. Rel. Fields 84, 203-229.
5. Davis, B. (1999). Brownian motion and random walk perturbed at extrema. Prob. Th. Rel. Fields 113, 501-518.
6. Davis, B., Volkov, S. (2003). Vertex-reinforced jump process on trees and finite graphs. Prob. Th. Rel. Fields, to appear.
7. Doyle, P.G., Snell, J.L. (1984). Random Walks and Electrical Networks. Mathematical Association of America.
8. Durrett, R. (1995) Probability: Theory and Examples. (2nd. ed.) Duxbury Press, Belmont, California.
9. Durrett, R., Kesten, H., Limic, V. (2002). Once edge-reinforced random walk on a tree. Prob. Th. Rel. Fields 122, 567-592.
10. Pemantle, P. (2002). Random processes with reinforcement. Preprint.
11. Sellke, T. (1994). Reinforced random walk on the d-dimensional integer lattice. Purdue University technical report 94-26.