A note on vertex-reinforced random walks

Statistics and Probability Letters

Volumn 62, Issue 3, 2003, Pages 275-280

  Dai, Jack Jie ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Convergent martingale; Vertex reinforced random walk

Indexed keywords

EID: 0037445866     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(03)00014-2     Document Type: Article

References (6)

1. Feller, W., 1950. Probability Theory and Its Applications, Vol. 1. Wiley, New York.
2. Feller, W., 1971. An Introduction to Probability Theory and Its Applications, Vol. 2, 2nd Edition. Wiley, New York.
3. Pemantle, R., 1988. Phase transition in reinforced random walk and RWRE on trees. Ann. Probab. 16, 1229-1241.
4. Pemantle, R., 1992. Vertex-reinforced random walk. Probab. Theory related Fields 92, 117-136.
5. Pemantle, R., Volkov, S., 1999. Vertex-reinforced random walk on Z has finite range. Ann. Probab. 27, 1368-1388.
6. Volkov, S., 2001. Vertex-reinforced random walk on arbitrary graphs. Ann. Probab. 29, 66-91.