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Volumn 355, Issue 3, 2003, Pages 967-985

Non-independence of excursions of the Brownian sheet and of additive Brownian motion

Author keywords

Additive Brownian motion; Brownian sheet; Excursions; Level sets

Indexed keywords


EID: 0037340778     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03138-0     Document Type: Article
Times cited : (6)

References (11)
  • 1
    • 0035993049 scopus 로고    scopus 로고
    • Eccentric behaviors of the Brownian sheet along lines
    • Dalang, R. C. and Mountford, T. S. Eccentric behaviors of the Brownian sheet along lines. Annals Probab. 30 (2002), 293-322.
    • (2002) Annals Probab. , vol.30 , pp. 293-322
    • Dalang, R.C.1    Mountford, T.S.2
  • 2
    • 21144462388 scopus 로고
    • Geography of the level sets of the Brownian sheet
    • MR 94h:60055
    • Dalang, R. C. and Walsh, J. B. Geography of the level sets of the Brownian sheet. Probab. Theory Related Fields 96 (1993), 153-176. MR 94h:60055
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 153-176
    • Dalang, R.C.1    Walsh, J.B.2
  • 3
    • 21144467905 scopus 로고
    • The structure of a Brownian bubble
    • MR 94j:60105
    • Dalang, R. C. and Walsh, J. B. The structure of a Brownian bubble. Probab. Theory Related Fields 96 (1993), 475-501. MR 94j:60105
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 475-501
    • Dalang, R.C.1    Walsh, J.B.2
  • 6
    • 0003261160 scopus 로고
    • Essentials of Brownian motion and diffusion
    • Amer. Math. Soc., Providence, Rhode Island. MR 82m:60098
    • Knight, P. Essentials of Brownian motion and diffusion. Math. Surveys and Monographs no. 18. Amer. Math. Soc., Providence, Rhode Island, 1981. MR 82m:60098
    • (1981) Math. Surveys and Monographs , vol.18
    • Knight, P.1
  • 7
    • 0000622785 scopus 로고
    • Sample functions of the N-parameter Wiener process
    • MR 49:11646
    • Orey, S. and Pruitt, W. Sample functions of the N-parameter Wiener process. Annals Probab. 1 (1973), 138-163. MR 49:11646
    • (1973) Annals Probab. , vol.1 , pp. 138-163
    • Orey, S.1    Pruitt, W.2
  • 8
    • 0003272788 scopus 로고
    • Continuous martingales and Brownian motion
    • Springer-Verlag, Berlin. MR 92d:60053
    • Revuz, D. and Yor, M. Continuous martingales and Brownian motion. Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, Berlin, 1991. MR 92d:60053
    • (1991) Grundlehren der Mathematischen Wissenschaften
    • Revuz, D.1    Yor, M.2
  • 10
    • 0002141535 scopus 로고
    • Théorie élémentaire des processus à deux indices
    • Korezlioglu, H., Mazziotto, G., Szpirglas, J. (eds). Processus aléatoires à deux indices). Springer, Berlin. MR 83a: 60059
    • Meyer, P. A. Théorie élémentaire des processus à deux indices. In: Korezlioglu, H., Mazziotto, G., Szpirglas, J. (eds). Processus aléatoires à deux indices. (Lect. Notes Math., vol. 863, pp. 1-30). Springer, Berlin, 1981. MR 83a: 60059
    • (1981) Lect. Notes Math. , vol.863 , pp. 1-30
    • Meyer, P.A.1
  • 11
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    • An introduction to stochastic partial differential equations
    • Ecole d'Eté de Probabilités de St. Flour XIV. Springer-Verlag, Berlin. MR 88a:60114
    • Walsh, J. An introduction to stochastic partial differential equations. In: Ecole d'Eté de Probabilités de St. Flour XIV. Lecture Notes in Mathematics 1180. Springer-Verlag, Berlin, 1986. MR 88a:60114
    • (1986) Lecture Notes in Mathematics , vol.1180
    • Walsh, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.