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Volumn 33, Issue 6, 2005, Pages 2051-2093

Edge-reinforced random walk on a ladder

Author keywords

Gibbs measure; Random environment; Recurrence; Reinforced random walk; Transfer operator

Indexed keywords


EID: 29344432646     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117905000000396     Document Type: Article
Times cited : (17)

References (18)
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    • (1988) Bayesian Statistics , vol.3 , pp. 111-125
    • Diaconis, P.1
  • 3
    • 0001576374 scopus 로고
    • De Finetti's theorem for Markov chains
    • DIACONIS, P. and FREEDMAN, D. (1980). de Finetti's theorem for Markov chains. Ann. Probab. 8 115-130.
    • (1980) Ann. Probab. , vol.8 , pp. 115-130
    • Diaconis, P.1    Freedman, D.2
  • 7
    • 0011682450 scopus 로고    scopus 로고
    • Edge-reinforced random walk on finite graphs
    • Royal Netherland Academy of Arts and Sciences, Amsterdam
    • KEANE, M. S. and ROLLES, S. W. W. (2000). Edge-reinforced random walk on finite graphs. In Infinite Dimensional Stochastic Analysis 217-234. Royal Netherland Academy of Arts and Sciences, Amsterdam.
    • (2000) Infinite Dimensional Stochastic Analysis , pp. 217-234
    • Keane, M.S.1    Rolles, S.W.W.2
  • 9
    • 0038034721 scopus 로고    scopus 로고
    • Attracting edge property for a class of reinforced random walks
    • LIMIC, V. (2003). Attracting edge property for a class of reinforced random walks. Ann. Probab. 31 1615-1654.
    • (2003) Ann. Probab. , vol.31 , pp. 1615-1654
    • Limic, V.1
  • 10
    • 0000925076 scopus 로고
    • Phase transition in reinforced random walk and RWRE on trees
    • PEMANTLE, R. (1988). Phase transition in reinforced random walk and RWRE on trees. Ann. Probab. 16 1229-1241.
    • (1988) Ann. Probab. , vol.16 , pp. 1229-1241
    • Pemantle, R.1
  • 11
    • 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
  • 12
    • 0037633746 scopus 로고    scopus 로고
    • How edge-reinforced random walk arises naturally
    • ROLLES, S. W. W. (2003). How edge-reinforced random walk arises naturally. Probab. Theory Related Fields 126 243-260.
    • (2003) Probab. Theory Related Fields , vol.126 , pp. 243-260
    • Rolles, S.W.W.1
  • 14
    • 29344452560 scopus 로고
    • Recurrence of reinforced random walk on a ladder
    • Purdue Univ
    • SELLKE, T. (1993). Recurrence of reinforced random walk on a ladder. Technical Report 93-10, Purdue Univ.
    • (1993) Technical Report , vol.93 , Issue.10
    • Sellke, T.1
  • 15
    • 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
  • 16
    • 29344456267 scopus 로고    scopus 로고
    • Problems I've worked on. Ph.D. thesis, Univ. Amsterdam
    • VERVOORT, M. (2000). Games, walks and grammars. Problems I've worked on. Ph.D. thesis, Univ. Amsterdam.
    • (2000) Games, Walks and Grammars
    • Vervoort, M.1
  • 17
    • 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.