메뉴 건너뛰기




Volumn 35, Issue 1, 2007, Pages 115-140

Asymptotic behavior of edge-reinforced random walks

Author keywords

Convergence to equilibrium; Gibbs measure; Random environment; Reinforced random walk

Indexed keywords


EID: 42449127087     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000674     Document Type: Article
Times cited : (8)

References (11)
  • 1
    • 0012934722 scopus 로고
    • Random walk with reinforcement
    • Unpublished manuscript
    • COPPERSMITH, D. and DIACONIS, P. (1986). Random walk with reinforcement. Unpublished manuscript.
    • (1986)
    • COPPERSMITH, D.1    DIACONIS, P.2
  • 2
    • 51149116687 scopus 로고    scopus 로고
    • DIACONIS, P. (1988). Recent progress on de Finetti's notions of exchangeability. In Bayesian Statistics 3 (Valencia, 1987) 111-125. Oxford Univ. Press, New York. MR1008047
    • DIACONIS, P. (1988). Recent progress on de Finetti's notions of exchangeability. In Bayesian Statistics 3 (Valencia, 1987) 111-125. Oxford Univ. Press, New York. MR1008047
  • 3
    • 0001576374 scopus 로고
    • de Finetti's theorem for Markov chains
    • MR0556418
    • DIACONIS, P. and FREEDMAN, D. (1980). de Finetti's theorem for Markov chains. Ann. Probab. 8 115-130. MR0556418
    • (1980) Ann. Probab , vol.8 , pp. 115-130
    • DIACONIS, P.1    FREEDMAN, D.2
  • 4
    • 33746180663 scopus 로고    scopus 로고
    • Bayesian analysis for reversible Markov chains
    • DIACONIS, P. and ROLLES, S. W. W. (2006). Bayesian analysis for reversible Markov chains. Ann. Statist. 34 1270-1292.
    • (2006) Ann. Statist , vol.34 , pp. 1270-1292
    • DIACONIS, P.1    ROLLES, S.W.W.2
  • 6
    • 0011682450 scopus 로고    scopus 로고
    • Edge-reinforced random walk on finite graphs
    • R. Neth. Acad. Arts Sci, Amsterdam. MR1832379
    • KEANE, M. S. and ROLLES, S. W. W. (2000). Edge-reinforced random walk on finite graphs. In Infinite Dimensional Stochastic Analysis (Amsterdam, 1999) 217-234. R. Neth. Acad. Arts Sci., Amsterdam. MR1832379
    • (1999) Infinite Dimensional Stochastic Analysis (Amsterdam , pp. 217-234
    • KEANE, M.S.1    ROLLES, S.W.W.2
  • 7
    • 29344432646 scopus 로고    scopus 로고
    • Edge-reinforced random walk on a ladder
    • MR2184091
    • MERKL, F. and ROLLES, S. W. W. (2005). Edge-reinforced random walk on a ladder. Ann. Probab. 33 2051-2093. MR2184091
    • (2005) Ann. Probab , vol.33 , pp. 2051-2093
    • MERKL, F.1    ROLLES, S.W.W.2
  • 8
    • 0000925076 scopus 로고
    • Phase transition in reinforced random walk and RWRE on trees
    • MR0942765
    • PEMANTLE, R. (1988). Phase transition in reinforced random walk and RWRE on trees. Ann. Probab. 16 1229-1241. MR0942765
    • (1988) Ann. Probab , vol.16 , pp. 1229-1241
    • PEMANTLE, R.1
  • 9
    • 0037633746 scopus 로고    scopus 로고
    • How edge-reinforced random walk arises naturally
    • MR1990056
    • ROLLES, S. W. W. (2003). How edge-reinforced random walk arises naturally. Probab. Theory Related Fields 126 243-260. MR1990056
    • (2003) Probab. Theory Related Fields , vol.126 , pp. 243-260
    • ROLLES, S.W.W.1
  • 10
    • 33645151469 scopus 로고    scopus 로고
    • On the recurrence of edge-reinforced random walk on ℤ × G
    • MR2218872
    • ROLLES, S. W. W. (2006). On the recurrence of edge-reinforced random walk on ℤ × G. Probab. Theory Related Fields 135 216-264. MR2218872
    • (2006) Probab. Theory Related Fields , vol.135 , pp. 216-264
    • ROLLES, S.W.W.1
  • 11
    • 51149097703 scopus 로고    scopus 로고
    • THORISSON, H. (2000). Coupling. Stationarity, and Regeneration. Springer, New York. MR1741181
    • THORISSON, H. (2000). Coupling. Stationarity, and Regeneration. Springer, New York. MR1741181


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.