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Volumn 353, Issue 9, 2001, Pages 3531-3545

Jordan curves in the level sets of additive brownian motion

Author keywords

Additive brownian motion; Brownian sheet; Jordan curve; Level set

Indexed keywords


EID: 23044525806     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-01-02811-2     Document Type: Article
Times cited : (8)

References (11)
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  • 2
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    • Dalang, R.C. & Mountford, T. Points of increase of the Brownian sheet. Probab. Th. Rel. Fields 108 (1997), 1-27. MR 2000e:60084
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  • 3
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    • Eccentric behaviors of the Brownian sheet along lines
    • to appear.
    • Dalang, R.C. & Mountford, T. Eccentric behaviors of the Brownian sheet along lines. Annals Probab. (2001, to appear).
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    • Dalang, R.C.1    Mountford, T.2
  • 4
    • 21144462388 scopus 로고
    • Geography of the level sets of the Brownian sheet
    • MR 94k:60055
    • Dalang, R.C. &: Walsh, J.B. Geography of the level sets of the Brownian sheet. Probab. Th. Rel. Fields 96 (1993), 153-176. MR 94k:60055
    • (1993) Probab. Th. Rel. Fields , vol.96 , pp. 153-176
    • Dalang, R.C.1    Walsh, J.B.2
  • 5
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    • The structure of a Brownian bubble
    • MR 94j:60105
    • Dalang, R.C. & Walsh, J.B. The structure of a Brownian bubble. Probab. Th. Rel. Fields 96 (1993), 475-501. MR 94j:60105
    • (1993) Probab. Th. Rel. Fields , vol.96 , pp. 475-501
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  • 7
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    • Kendall, W.S. Contours of Brownian processes with several-dimensional times. Z. Wahrsch. Verw. Gebiete 52 (1980), 267-276. MR 83a:60066
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    • Kendall, W.S.1
  • 8
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    • Brownian sheet and capacity
    • CMP2000:06
    • Khoshnevisan, D. & Shi, Z. Brownian sheet and capacity. Ann. Probab. 27 (1999), 1135-1159. CMP 2000:06
    • (1999) Ann. Probab. , vol.27 , pp. 1135-1159
    • Khoshnevisan, D.1    Shi, Z.2
  • 9
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    • Continuous multi-armed bandits and multiparameter processes
    • MR 89b:62169
    • Mandelbaum, A. Continuous multi-armed bandits and multiparameter processes. Ann. Probab. 15 (1987), 1527-1556. MR 89b:62169
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  • 10
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    • Mountford, T.S. Estimates of the Hausdorff dimension of the boundary of positive Brownian sheet components. In: Sém. de Probab. XXVII, Lect. Notes in Math. 1557, Springer, Berlin (1993), 233-255. MR 96b:60216
    • (1993) Sém. De Probab. XXVII, Lect. Notes in Math. , vol.1557 , pp. 233-255
    • Mountford, T.S.1


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