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Volumn 24, Issue 1, 1996, Pages 182-195

Nondifferentiability of curves on the Brownian sheet

Author keywords

Brownian sheet; Jordan arc; Level sets; Nondifferentiability

Indexed keywords


EID: 0030486349     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1042644712     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 0013309115 scopus 로고
    • The uniform dimension of the level sets of a Brownian sheet
    • ADLER, R. J. (1978). The uniform dimension of the level sets of a Brownian sheet. Ann. Probab. 6 509-515.
    • (1978) Ann. Probab. , vol.6 , pp. 509-515
    • Adler, R.J.1
  • 2
    • 4244036525 scopus 로고
    • On the non-differentiability of the Wiener sheet
    • J. Gani and V. Rohatgi, eds. Academic Press, New York
    • CSÖRGO, M. and RÉVÉSZ, P. (1981). On the non-differentiability of the Wiener sheet. In Contributions to Probability (J. Gani and V. Rohatgi, eds.) 143-150. Academic Press, New York.
    • (1981) Contributions to Probability , pp. 143-150
    • Csörgo, M.1    Révész, P.2
  • 5
    • 21144462388 scopus 로고
    • Geography of the level sets of the Brownian sheet
    • DALANG, R. C. and WALSH, J. B. (1993). Geography of the level sets of the Brownian sheet. Probab. Theory Related Fields 96 153-176.
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 153-176
    • Dalang, R.C.1    Walsh, J.B.2
  • 9
    • 0000307340 scopus 로고
    • Contours of Brownian processes with several-dimensional time
    • KENDALL, W. (1980). Contours of Brownian processes with several-dimensional time. Z. Wahrsch. Verw. Gebiete 52 269-276.
    • (1980) Z. Wahrsch. Verw. Gebiete , vol.52 , pp. 269-276
    • Kendall, W.1
  • 11
    • 0000259633 scopus 로고
    • Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components
    • Springer, New York
    • MOUNTFORD, T. (1993). Estimates of the Hausdorff dimension of the boundary of positive Brownian sheet components. Séminaire de Probabilités XXVII. Lecture Notes in Math. 1557 233-255. Springer, New York.
    • (1993) Séminaire de Probabilités XXVII. Lecture Notes in Math. , vol.1557 , pp. 233-255
    • Mountford, T.1
  • 12
    • 0001110616 scopus 로고
    • Note on some random functions
    • PALEY, R., WIENER, N. and ZYGMUND, A. (1933). Note on some random functions. Math. Z. 37 647-668.
    • (1933) Math. Z. , vol.37 , pp. 647-668
    • Paley, R.1    Wiener, N.2    Zygmund, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.