Vertex-reinforced jump processes on trees and finite graphs

Probability Theory and Related Fields

Volumn 128, Issue 1, 2004, Pages 42-62

  Davis, Burgess ^a   Volkov, Stanislav ^b  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742271399     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0286-y     Document Type: Article

References (13)

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4. Davis, B., Volkov, S.: Continuous time vertex-reinforced jump processes. Prob. Th. and Rel. Fields 123, 281-300 (2002)
5. Doyle, P.G., Snell, J.L.: Random Walks and Electric Networks. Washington, DC: Mathematical Association of America, 1984
6. Durrett, R., Kesten, H., Limic, V.: Once edge-reinforced random walk on a tree. Prob. Th. Rel. Fields 122, 567-592 (2002)
7. Pemantle, R.: Random processes with reinforcement. Massachusetts Institute of Technology doctoral dissertation, 1988a
8. Pemantle, R.: Phase transition in reinforced random walk and RWRE on trees. Ann. Probab. 16, 1229-1241 (1988)
9. Pemantle, R.: Vertex-reinforced random walk. Prob. Th. and Rel. Fields 92, 117-136 (1992)
10. Pemantle, R.: Random processes with reinforcement. Preprint 2001
11. Pemantle, R., Volkov, S.: Vertex-reinforced random walks on Z have finite range. Ann. Probab. 27, 1368-1388 (1999)
12. Sellke, T.: Reinforced Random Walk on the d-dimensional Integer Lattice. Technical Report #94-26, Department of Statistics, Purdue University, 1994
13. Volkov, S.: Vertex-reinforced random walk on arbitrary graphs. Ann. Probab. 29, 66-91 (2001)