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Volumn 138, Issue 1-2, 2007, Pages 157-176

A random environment for linearly edge-reinforced random walks on infinite graphs

Author keywords

Random environment; Reinforced random walk

Indexed keywords


EID: 33847652188     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-006-0016-3     Document Type: Article
Times cited : (21)

References (11)
  • 1
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    • Random walk with reinforcement
    • Unpublished manuscript
    • Coppersmith, D., Diaconis, P.: Random walk with reinforcement. Unpublished manuscript, 1986
    • (1986)
    • Coppersmith, D.1    Diaconis, P.2
  • 2
    • 0001576374 scopus 로고
    • de Finetti's theorem for Markov chains
    • Diaconis, P., Freedman,D.: de Finetti's theorem for Markov chains. Ann. Probab. 8(1), 115-130 (1980)
    • (1980) Ann. Probab , vol.8 , Issue.1 , pp. 115-130
    • Diaconis, P.1    Freedman, D.2
  • 4
    • 0011682450 scopus 로고    scopus 로고
    • Edge-reinforced random walk on finite graphs
    • Analysis Amsterdam, The Royal Netherlands Academy Arts Sciences, Amsterdam
    • Keane, M.S., Rolles, S.W.W.: Edge-reinforced random walk on finite graphs. In: Infinite Dimensional Stochastic Analysis (Amsterdam, 1999), pp. 217-234. The Royal Netherlands Academy Arts Sciences, Amsterdam (2000)
    • (1999) Infinite Dimensional Stochastic , pp. 217-234
    • Keane, M.S.1    Rolles, S.W.W.2
  • 5
    • 29344432646 scopus 로고    scopus 로고
    • Edge-reinforced random walk on a ladder
    • Merkl, F., Rolles, S.W.W.: Edge-reinforced random walk on a ladder. Ann. Probab. 33(6), 2051-2093 (2005)
    • (2005) Ann. Probab , vol.33 , Issue.6 , pp. 2051-2093
    • Merkl, F.1    Rolles, S.W.W.2
  • 6
    • 33847657369 scopus 로고    scopus 로고
    • Merkl, F., Rolles, S.W.W.: Asymptotic behavior of edge-reinforced random walks (to appear in Ann. Probab. 2006)
    • Merkl, F., Rolles, S.W.W.: Asymptotic behavior of edge-reinforced random walks (to appear in Ann. Probab. 2006)
  • 7
    • 33847624869 scopus 로고    scopus 로고
    • Bounding a random environment for two-dimensional edgereinforced random walk
    • Merkl, F., Rolles, S.W.W.: Bounding a random environment for two-dimensional edgereinforced random walk. Eurandom report 2006-004, (2006)
    • (2006) Eurandom report 2006-004
    • Merkl, F.1    Rolles, S.W.W.2
  • 8
    • 33847667363 scopus 로고    scopus 로고
    • Merkl, F., Rolles, S.W.W.: Linearly edge-reinforced random walks. In: Denteneer, D., den Hollander, F., Verbitskiy, E. (eds.) Dynamics and Stochastics: Festschrift in Honor of M.S. Keane. IMS Lecture Notes Monograph Series, 48, pp. 66-77 (2006)
    • Merkl, F., Rolles, S.W.W.: Linearly edge-reinforced random walks. In: Denteneer, D., den Hollander, F., Verbitskiy, E. (eds.) Dynamics and Stochastics: Festschrift in Honor of M.S. Keane. IMS Lecture Notes Monograph Series, vol. 48, pp. 66-77 (2006)
  • 9
    • 0037633746 scopus 로고    scopus 로고
    • How edge-reinforced random walk arises naturally
    • Rolles, S.W.W.: How edge-reinforced random walk arises naturally. Probab. Theory Relat. Fields, 126(2), 243-260 (2003)
    • (2003) Probab. Theory Relat. Fields , vol.126 , Issue.2 , pp. 243-260
    • Rolles, S.W.W.1
  • 10
    • 33645151469 scopus 로고    scopus 로고
    • On the recurrence of edge-reinforced random walk on ℤ x G
    • Rolles, S.W.W.: On the recurrence of edge-reinforced random walk on ℤ x G. Probab. Theory Relat. Fields 135(2), 216-264 (2006)
    • (2006) Probab. Theory Relat. Fields , vol.135 , Issue.2 , pp. 216-264
    • Rolles, S.W.W.1
  • 11
    • 0000649228 scopus 로고
    • The existence of probability measures with given marginals
    • Strassen, V.: The existence of probability measures with given marginals. Ann. Math. Stat. 36, 423-439 (1965)
    • (1965) Ann. Math. Stat , vol.36 , pp. 423-439
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.