Continuous time vertex-reinforced jump processes

Probability Theory and Related Fields

Volumn 123, Issue 2, 2002, Pages 281-300

  Davis, Burgess ^a   Volkov, Stanislav ^b  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

P lya urn; Pure birth processes; Reinforced process

Indexed keywords

EID: 0036628231     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400100189     Document Type: Article

References (10)

1. Benaim, M., Ledoux, M., Raimond, O.: Self interacting diffusions. Probab. Theory Relat. Fields 122, 1-41 (2002)
2. Coppersmith, D., Diaconis, P.: Random walks with reinforcement. Unpublished manuscript, 1987
3. Davis, B.: Reinforced random walk. Prob. Th. Rel. Fields 84, 203-229 (1990)
4. Davis, B.: Reinforced and perturbed random walks. Random walks, Bolyai Soc. Math. Stud., 9, Budapest, 113-126 (1999)
5. Doob, J.L.: Stochastic processes. New York: John Wiley and Sons, 1953
6. Pemantle, R.: Phase transition in reinforced random walk and RWRE on trees. Ann. Probab. 16, 1229-1241 (1988)
7. Pemantle, R., Volkov, S.: Vertex-reinforced random walk on Z has finite range. Ann. Probab. 27, 1368-1388 (1999)
8. Sellke, T.: Reinforced Random Walk on the d-dimensional Integer Lattice, Technical Report #94-26, Department of Statistics, Purdue University, 1994
9. Tóth, B.: Self-interacting random motions - a survey. Random walks, Bolyai Soc. Math. Stud., 9, Budapest, 349-384 (1999)
10. Volkov, S.: Vertex-Reinforced Random Walk on Arbitrary Graphs, Ann. Probab. 29, 66-91 (2001)