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Volumn 144, Issue 3-4, 2009, Pages 319-370

The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus

Author keywords

Continuum random tree; Loop erased random walk; Uniform spanning tree

Indexed keywords


EID: 64749083807     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-008-0149-7     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 0001981461 scopus 로고
    • The continuum random tree i
    • D. Aldous 1991 The continuum random tree I Ann. Probab. 19 1 28
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 2
    • 0003296611 scopus 로고
    • The continuum random tree III
    • D. Aldous 1993 The continuum random tree III Ann. Probab. 21 248 289
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.1
  • 4
    • 24144502425 scopus 로고    scopus 로고
    • Loop-erased random walk on a torus in dimensions 4 and above
    • I. Benjamini G. Kozma 2005 Loop-erased random walk on a torus in dimensions 4 and above Commun. Math. Phys. 259 257 286
    • (2005) Commun. Math. Phys. , vol.259 , pp. 257-286
    • Benjamini, I.1    Kozma, G.2
  • 8
    • 35448993546 scopus 로고    scopus 로고
    • The scaling limit of loop-erased random walk in three dimensions
    • G. Kozma 2007 The scaling limit of loop-erased random walk in three dimensions Acta. Mathematica. 199 29 152
    • (2007) Acta. Mathematica. , vol.199 , pp. 29-152
    • Kozma, G.1
  • 10
    • 21144483112 scopus 로고
    • Escape probabilities for slowly recurrent sets
    • G. Lawler 1992 Escape probabilities for slowly recurrent sets Probab. Theory Related Fields 94 91 117
    • (1992) Probab. Theory Related Fields , vol.94 , pp. 91-117
    • Lawler, G.1
  • 12
    • 2142809825 scopus 로고    scopus 로고
    • Conformal invariance of planar loop-erased random walks and uniform spanning trees
    • G. Lawler O. Schramm W. Werner 2004 Conformal invariance of planar loop-erased random walks and uniform spanning trees Ann. Probab. 32 939 995
    • (2004) Ann. Probab. , vol.32 , pp. 939-995
    • Lawler, G.1    Schramm, O.2    Werner, W.3
  • 14
    • 0000000702 scopus 로고
    • Choosing a spanning tree for the integer lattice uniformly
    • R. Pemantle 1991 Choosing a spanning tree for the integer lattice uniformly Ann. Probab. 19 1559 1574
    • (1991) Ann. Probab. , vol.19 , pp. 1559-1574
    • Pemantle, R.1
  • 17
    • 42349115396 scopus 로고    scopus 로고
    • Loop-erased random walk on finite graphs and the Rayleigh process
    • (to appear)
    • Schweinsberg, J.: Loop-erased random walk on finite graphs and the Rayleigh process. J. Theor. Probab. (2008) (to appear)
    • (2008) J. Theor. Probab.
    • Schweinsberg, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.