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Volumn 19, Issue 3, 2006, Pages 691-700

Phase transition in vertex-reinforced random walks on z with non-linear reinforcement

Author keywords

Rubin's construction; Urn models; Vertex reinforced random walks

Indexed keywords


EID: 33845660295     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/s10959-006-0033-2     Document Type: Article
Times cited : (27)

References (11)
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  • 2
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    • A note on vertex-reinforced random walks
    • Dai, J. J. (2003). A note on vertex-reinforced random walks. Stat. Probab. Lett. 62, 275-280.
    • (2003) Stat. Probab. Lett. , vol.62 , pp. 275-280
    • Dai, J.J.1
  • 4
    • 0035234601 scopus 로고    scopus 로고
    • A probabilistic model for establishing of neuron polarity
    • Khanin, K., and Khanin, R. (2001). A probabilistic model for establishing of neuron polarity. J. Math. Biol. 42, 26-40.
    • (2001) J. Math. Biol. , vol.42 , pp. 26-40
    • Khanin, K.1    Khanin, R.2
  • 5
    • 0037273546 scopus 로고    scopus 로고
    • Solution to the OK Corral model via decoupling of Friedman's urn
    • Kingman, J. F. C., and Volkov, S. (2003). Solution to the OK Corral model via decoupling of Friedman's urn. J. Theory. Probab. 16, 267-276.
    • (2003) J. Theory. Probab. , vol.16 , pp. 267-276
    • Kingman, J.F.C.1    Volkov, S.2
  • 6
  • 7
    • 0033164053 scopus 로고    scopus 로고
    • Vertex-reinforced random walk on ℤ has finite range
    • Pemantle, R., and Volkov, S. (1999). Vertex-reinforced random walk on ℤ has finite range. Ann. Probab. 27, 1368-1388.
    • (1999) Ann. Probab. , vol.27 , pp. 1368-1388
    • Pemantle, R.1    Volkov, S.2
  • 9
    • 0004225404 scopus 로고
    • Translated from the first. Russian edition by R. P. Boas., 2nd ed. Graduate Texts in Mathematics, Springer-Verlag, New York
    • Shiryaev, A. N. (1996). Probability. Translated from the first (1980) Russian edition by R. P. Boas., 2nd ed. Graduate Texts in Mathematics, Springer-Verlag, New York.
    • (1980) Probability
    • Shiryaev, A.N.1
  • 10
    • 4544355873 scopus 로고    scopus 로고
    • Vertex-reinforced random walk on ℤ eventually gets stuck on five points
    • Tarrès, P. (2004). Vertex-reinforced random walk on ℤ eventually gets stuck on five points. Ann. Probab. 32, 2650-2701.
    • (2004) Ann. Probab. , vol.32 , pp. 2650-2701
    • Tarrès, P.1
  • 11
    • 0035533093 scopus 로고    scopus 로고
    • Vertex-reinforced random walk on arbitrary graphs
    • Volkov, S. (2001). Vertex-reinforced random walk on arbitrary graphs. Ann. Probab. 29, 66-91.
    • (2001) Ann. Probab. , vol.29 , pp. 66-91
    • Volkov, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.