메뉴 건너뛰기




Volumn 8, Issue , 2003, Pages 86-92

Excited random walk

Author keywords

Perturbed random walk; Transience

Indexed keywords


EID: 3042823385     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v8-1072     Document Type: Article
Times cited : (104)

References (16)
  • 1
    • 3042517876 scopus 로고    scopus 로고
    • Random walks that avoid their past convex hull
    • O. Angel, I. Benjamini, and B. Virag. Random walks that avoid their past convex hull. Elec. Comm. Prob. 8(2):6-16, 2003.
    • (2003) Elec. Comm. Prob. , vol.8 , Issue.2 , pp. 6-16
    • Angel, O.1    Benjamini, I.2    Virag, B.3
  • 2
    • 0036631298 scopus 로고    scopus 로고
    • Laws of the iterated logarithm for the range of random walks in two and three dimensions
    • R. F. Bass and T. Kumagai. Laws of the iterated logarithm for the range of random walks in two and three dimensions. Ann. Prob. 30:1369-1396, 2002.
    • (2002) Ann. Prob. , vol.30 , pp. 1369-1396
    • Bass, R.F.1    Kumagai, T.2
  • 4
    • 0000560875 scopus 로고
    • Reinforced random walk
    • B. Davis. Reinforced random walk. Probab. Theory Related Fields 84(2):203-229, 1990.
    • (1990) Probab. Theory Related Fields , vol.84 , Issue.2 , pp. 203-229
    • Davis, B.1
  • 5
    • 0038969189 scopus 로고    scopus 로고
    • Weak limits of perturbed Brownian motion and the equation Yt = Bt + a sups
    • s. Ann. Prob. 24:2007-2023, 1996.
    • (1996) Ann. Prob. , vol.24 , pp. 2007-2023
    • Davis, B.1
  • 6
    • 0033423755 scopus 로고    scopus 로고
    • Brownian motion and random walk perturbed at extrema
    • B. Davis. Brownian motion and random walk perturbed at extrema. Probab. Theory Related Fields 113(4):501-518, 1999.
    • (1999) Probab. Theory Related Fields , vol.113 , Issue.4 , pp. 501-518
    • Davis, B.1
  • 10
    • 0000095903 scopus 로고
    • Extended Watson integrals for the cubic lattice
    • M. L. Glasser and I. J. Zucker. Extended Watson integrals for the cubic lattice. Proc. Natl. Acad. Sci., USA 74:1800-1801, 1977.
    • (1977) Proc. Natl. Acad. Sci., USA , vol.74 , pp. 1800-1801
    • Glasser, M.L.1    Zucker, I.J.2
  • 11
    • 0003798212 scopus 로고
    • Probability and its Applications. Birkhauser, Boston, MA
    • G. F. Lawler. Intersections of Random Walks. Probability and its Applications. Birkhauser, Boston, MA, 1991. 219 pp.
    • (1991) Intersections of Random Walks. , pp. 219
    • Lawler, G.F.1
  • 12
    • 84996130556 scopus 로고    scopus 로고
    • A lower bound on the growth exponent for loop-erased random walk in two dimensions
    • G. F. Lawler. A lower bound on the growth exponent for loop-erased random walk in two dimensions. ESAIM Probab. Statist. 3:1-21, 1999.
    • (1999) ESAIM Probab. Statist. , vol.3 , pp. 1-21
    • Lawler, G.F.1
  • 13
    • 85037912046 scopus 로고    scopus 로고
    • Random processes with reinforcement
    • R. Pemantle. Random processes with reinforcement. Preprint, 28 pp. http://www.math.ohio-state.edu/pemantle/papers/Papers.html.
    • Preprint , vol.28
    • Pemantle, R.1
  • 15
    • 0000614574 scopus 로고    scopus 로고
    • Scaling limits of loop-erased random walks and uniform spanning trees
    • O. Schramm. Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118:221-288, 2000. arXiv: math.PR/9904022.
    • (2000) Israel J. Math , vol.118 , pp. 221-288
    • Schramm, O.1
  • 16


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.