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Volumn 1, Issue , 1996, Pages 1-20

Hausdorff dimension of cut points for brownian motion

Author keywords

Brownian motion; Cut points; Hausdorff dimension; Intersection exponent

Indexed keywords


EID: 3042574952     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v1-2     Document Type: Article
Times cited : (52)

References (17)
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  • 2
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  • 3
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    • Burdzy, K. and Lawler, G. (1990). Non-intersection exponents for random walk and Brownian motion. Part I: Existence and an invariance principle. Probab. Th. and Rel. Fields 84 393-410.
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    • Burdzy, K.1    Lawler, G.2
  • 4
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    • Non-intersection exponents for random walk and Brownian motion. Part II: Estimates and applications to a random fractal
    • Burdzy, K. and Lawler, G. (1990). Non-intersection exponents for random walk and Brownian motion. Part II: Estimates and applications to a random fractal. Ann. Probab. 18 981-1009.
    • (1990) Ann. Probab , vol.18 , pp. 981-1009
    • Burdzy, K.1    Lawler, G.2
  • 5
    • 0009400513 scopus 로고
    • On the critical exponent for random walk intersections
    • Burdzy, K., Lawler, G. and Polaski, T. (1989). On the critical exponent for random walk intersections. J. Stat. Phys. 56 1-12.
    • (1989) J. Stat. Phys , vol.56 , pp. 1-12
    • Burdzy, K.1    Lawler, G.2    Polaski, T.3
  • 6
    • 0009453793 scopus 로고
    • An extension of a result of Burdzy and Lawler
    • Cranston, M. and Mountford, T. (1991). An extension of a result of Burdzy and Lawler. Probab. Th. and Rel. Fields 89, 487-502.
    • (1991) Probab. Th. And Rel. Fields , vol.89 , pp. 487-502
    • Cranston, M.1    Mountford, T.2
  • 7
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    • Conformal invariance and intersections of random walks. Phys
    • Duplantier, B. and Kwon, K.-H. (1988). Conformal invariance and intersections of random walks. Phys. Rev. Lett. 61 2514-2517.
    • (1988) Rev. Lett , vol.61 , pp. 2514-2517
    • Duplantier, B.1    Kwon, K.-H.2
  • 8
    • 0001982781 scopus 로고
    • Double points of paths of Brownian motions in n-space
    • Dvoretzky, A., Erdos, P. and Kakutani, S. (1950). Double points of paths of Brownian motions in n-space. Acta. Sci. Math. Szeged 12 75-81.
    • (1950) Acta. Sci. Math. Szeged , vol.12 , pp. 75-81
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  • 11
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    • Une propriete metrique du mouvement brownien
    • Kaufman, R. (1969). Une propriete metrique du mouvement brownien. C. R. Acad. Sci., Paris 268 727-728.
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    • Kaufman, R.1
  • 16
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    • High-precision Monte Carlo test of the conformal-invariance predictions for two-dimensional mutually avoiding walks
    • Li, B. and Sokal, A. (1990). High-precision Monte Carlo test of the conformal-invariance predictions for two-dimensional mutually avoiding walks. J. Stat. Phys. 61 723-748.
    • (1990) J. Stat. Phys , vol.61 , pp. 723-748
    • Li, B.1    Sokal, A.2
  • 17
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    • Uniform measure results for the image of subsets under Brownian motion
    • Perkins, E. and Taylor, S. J. (1987). Uniform measure results for the image of subsets under Brownian motion. Probab. Th. Rel. Fields 76, 257-289
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    • Perkins, E.1    Taylor, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.