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Volumn 8, Issue 3, 1998, Pages 708-748

Brownian motion in a Brownian crack

Author keywords

Crack diffusion model; Diffusion on fractal; Iterated Brownian motion

Indexed keywords


EID: 0032222165     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1028903448     Document Type: Article
Times cited : (34)

References (18)
  • 2
    • 84967735808 scopus 로고
    • Coupling and Harnack inequalities for Sierpiński carpets
    • BARLOW, M. T. and BASS, R. F. (1993). Coupling and Harnack inequalities for Sierpiński carpets. Bull. Amer. Math. Soc. 29 208-212.
    • (1993) Bull. Amer. Math. Soc. , vol.29 , pp. 208-212
    • Barlow, M.T.1    Bass, R.F.2
  • 6
    • 0002163527 scopus 로고
    • Some path properties of iterated Brownian motion
    • E. Çinlar, K. L. Chung and M. Sharpe, eds., Birkhäuser, Boston
    • BURDZY, K. (1993). Some path properties of iterated Brownian motion. In Seminar on Stochastic Processes 1992 (E. Çinlar, K. L. Chung and M. Sharpe, eds.) 67-87. Birkhäuser, Boston.
    • (1993) Seminar on Stochastic Processes 1992 , pp. 67-87
    • Burdzy, K.1
  • 8
    • 0002266863 scopus 로고
    • On Brownian excursions in Lipschitz domains II Local asymptotic distributions
    • E. Çinlar, K. L. Chung, R. Getoor and J. Glover eds., Birkhäuser, Boston
    • BURDZY, K., TOBY, E. and WILLIAMS, R. J. (1989). On Brownian excursions in Lipschitz domains II Local asymptotic distributions. In Seminar on Stochastic Processes 1988 (E. Çinlar, K. L. Chung, R. Getoor and J. Glover eds.) 55-85. Birkhäuser, Boston.
    • (1989) Seminar on Stochastic Processes 1988 , pp. 55-85
    • Burdzy, K.1    Toby, E.2    Williams, R.J.3
  • 9
    • 21144467770 scopus 로고
    • Pseudo Jordan domains and reflecting Brownian motions
    • CHEN, Z.-Q. (1992). Pseudo Jordan domains and reflecting Brownian motions. Probab. Theory Related Fields 94 271-280.
    • (1992) Probab. Theory Related Fields , vol.94 , pp. 271-280
    • Chen, Z.-Q.1
  • 10
    • 0000502064 scopus 로고
    • A probabilistic model of brittle crack formation
    • CHUDNOVSKY, A. and KUNIN, B. (1987). A probabilistic model of brittle crack formation. J. Appl. Phys. 62 4124-4129.
    • (1987) J. Appl. Phys. , vol.62 , pp. 4124-4129
    • Chudnovsky, A.1    Kunin, B.2
  • 11
    • 0001630128 scopus 로고
    • Time changes of symmetric Markov processes and a Feynman-Kac formula
    • FITZSIMMONS, P. J. (1989). Time changes of symmetric Markov processes and a Feynman-Kac formula. J. Theoret. Probab. 2 485-501.
    • (1989) J. Theoret. Probab. , vol.2 , pp. 485-501
    • Fitzsimmons, P.J.1
  • 15
    • 0013490449 scopus 로고    scopus 로고
    • Stochastic calculus for Brownian motion on a Brownian fracture
    • To appear
    • KHOSHNEVISAN, D. and LEWIS, T. M. (1997). Stochastic calculus for Brownian motion on a Brownian fracture. Ann. Appl. Probab. To appear.
    • (1997) Ann. Appl. Probab.
    • Khoshnevisan, D.1    Lewis, T.M.2
  • 16
    • 0001165090 scopus 로고
    • On representation of fracture profiles by fractional integrals of a Wiener process
    • KUNIN, B. and GORELIK, M. (1991). On representation of fracture profiles by fractional integrals of a Wiener process. J. Appl. Phys. 70 7651-7653.
    • (1991) J. Appl. Phys. , vol.70 , pp. 7651-7653
    • Kunin, B.1    Gorelik, M.2
  • 18
    • 0003206348 scopus 로고
    • Symmetric Markov Processes
    • Springer, New York
    • SILVERSTEIN, M. L. (1974). Symmetric Markov Processes. Lecture Notes in Math. 426. Springer, New York.
    • (1974) Lecture Notes in Math , vol.426
    • Silverstein, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.