메뉴 건너뛰기




Volumn 27, Issue 3, 1999, Pages 1135-1159

Brownian sheet and capacity

Author keywords

Additive brownian motion; Brownian sheet; Capacity; Escape rate; Hitting probability; Local intersection equivalence

Indexed keywords


EID: 0033164051     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022677442     Document Type: Article
Times cited : (54)

References (37)
  • 3
    • 84968478877 scopus 로고
    • First passage times and sojourn times for Brownian motion in space and the exact Hausdorff measure of the sample path
    • CIESIELSKI, Z. and TAYLOR, S. J. (1962). First passage times and sojourn times for Brownian motion in space and the exact Hausdorff measure of the sample path. Trans. Amer. Math. Soc. 103 434-450.
    • (1962) Trans. Amer. Math. Soc. , vol.103 , pp. 434-450
    • Ciesielski, Z.1    Taylor, S.J.2
  • 4
    • 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
  • 7
    • 84972505160 scopus 로고
    • Basic properties of Brownian motion and a capacity on the Wiener space
    • FUKUSHIMA, M. (1984). Basic properties of Brownian motion and a capacity on the Wiener space. J. Math. Soc. Japan 36 161-176.
    • (1984) J. Math. Soc. Japan , vol.36 , pp. 161-176
    • Fukushima, M.1
  • 10
    • 0001278145 scopus 로고
    • Potential theory related to some multiparameter processes
    • HIRSCH, F. (1995). Potential theory related to some multiparameter processes. Potential Anal. 4 245-267.
    • (1995) Potential Anal. , vol.4 , pp. 245-267
    • Hirsch, F.1
  • 11
    • 21844515076 scopus 로고
    • Markov properties of multiparameter processes and capacities
    • HIRSCH, F. and SONG, S. (1995). Markov properties of multiparameter processes and capacities. Probab. Theory Related Fields 103 45-71.
    • (1995) Probab. Theory Related Fields , vol.103 , pp. 45-71
    • Hirsch, F.1    Song, S.2
  • 12
    • 0009227551 scopus 로고
    • Local asymptotics for Brownian motion
    • JAIN, N. and TAYLOR, S. J. (1973). Local asymptotics for Brownian motion. Ann. Probab. 1 527-549.
    • (1973) Ann. Probab. , vol.1 , pp. 527-549
    • Jain, N.1    Taylor, S.J.2
  • 13
    • 0009229267 scopus 로고
    • On Brownian motion in n-space
    • KAKUTANI, S. (1944). On Brownian motion in n-space. Proc. Imp. Acad. Tokyo 20 648-652.
    • (1944) Proc. Imp. Acad. Tokyo , vol.20 , pp. 648-652
    • Kakutani, S.1
  • 14
    • 0000307340 scopus 로고
    • Contours of Brownian process with several-dimensional times
    • KENDALL, W. S. (1980). Contours of Brownian process with several-dimensional times. Z. Wahrsch. Verw. Gebiete 52 267-276.
    • (1980) Z. Wahrsch. Verw. Gebiete , vol.52 , pp. 267-276
    • Kendall, W.S.1
  • 16
    • 0030507491 scopus 로고    scopus 로고
    • On a problem of Erdös and Taylor
    • KHOSHNEVISAN, D., LEWIS, T. M. and SHI, Z. (1996). On a problem of Erdös and Taylor. Ann. Probab. 24 761-787.
    • (1996) Ann. Probab. , vol.24 , pp. 761-787
    • Khoshnevisan, D.1    Lewis, T.M.2    Shi, Z.3
  • 18
    • 0001923023 scopus 로고
    • 4-Dimensional Brownian motion is recurrent with positive capacity
    • KÔNO, N. (1984). 4-dimensional Brownian motion is recurrent with positive capacity. Proc. Japan Acad. A 60 57-59.
    • (1984) Proc. Japan Acad. A , vol.60 , pp. 57-59
    • Kôno, N.1
  • 19
    • 0009230244 scopus 로고
    • Inégalités de Burkholder pour martingales àdeux indices et inégalités par ℕ × ℕ
    • Springer, New York
    • LEDOUX, M. (1981). Inégalités de Burkholder pour martingales àdeux indices et inégalités par ℕ × ℕ. In Processus Aléatoires àDeux Indices 122-127. Springer, New York.
    • (1981) Processus Aléatoires àDeux Indices , pp. 122-127
    • Ledoux, M.1
  • 20
    • 0003082851 scopus 로고
    • The critical dimension at which every Brownian path is self-avoiding
    • LYONS, T. J. (1986). The critical dimension at which every Brownian path is self-avoiding. Anal. and Geom. Stoch. 87-99.
    • (1986) Anal. and Geom. Stoch. , pp. 87-99
    • Lyons, T.J.1
  • 24
    • 0000622785 scopus 로고
    • Sample functions of the N-parameter Wiener process
    • OREY, S. and PRUITT, W. E. (1973). Sample functions of the N-parameter Wiener process. Ann. Probab. 1 138-163.
    • (1973) Ann. Probab. , vol.1 , pp. 138-163
    • Orey, S.1    Pruitt, W.E.2
  • 25
    • 0009295633 scopus 로고
    • Quasi-everywhere properties of Brownian level sets and multiple points
    • PENROSE, M. D. (1990). Quasi-everywhere properties of Brownian level sets and multiple points. Stochastic. Process Appl. 36 33-43.
    • (1990) Stochastic. Process Appl. , vol.36 , pp. 33-43
    • Penrose, M.D.1
  • 26
    • 0030537118 scopus 로고    scopus 로고
    • Intersection-equivalence of Brownian paths and certain branching processes
    • PERES, Y. (1996). Intersection-equivalence of Brownian paths and certain branching processes. Comm. Math. Phys. 177 417-434.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 417-434
    • Peres, Y.1
  • 28
    • 0002687896 scopus 로고
    • Topologie p-fine sur l'espace de Wiener et théorème des fonctions implicites
    • REN, J. (1990). Topologie p-fine sur l'espace de Wiener et théorème des fonctions implicites. Bull. Sci. Math. 114 99-114.
    • (1990) Bull. Sci. Math. , vol.114 , pp. 99-114
    • Ren, J.1
  • 29
    • 0001455557 scopus 로고
    • Energy, and intersection of Markov chains
    • Springer, New York
    • SALISBURY, T. S. (1995). Energy, and intersection of Markov chains. In Random Discrete Structures 213-225. Springer, New York.
    • (1995) Random Discrete Structures , pp. 213-225
    • Salisbury, T.S.1
  • 31
    • 84972550701 scopus 로고
    • On a quasi everywhere existence of the local time of the 1-dimensional Brownian motion
    • SHIGEKAWA, I. (1984). On a quasi everywhere existence of the local time of the 1-dimensional Brownian motion. Osaka J. Math. 21 621-627.
    • (1984) Osaka J. Math. , vol.21 , pp. 621-627
    • Shigekawa, I.1
  • 34
    • 84927465241 scopus 로고
    • Some theorems concerning 2-dimensional Brownian motion
    • SPITZER, F. (1958). Some theorems concerning 2-dimensional Brownian motion. Trans. Amer. Math. Soc. 87 187-197.
    • (1958) Trans. Amer. Math. Soc. , vol.87 , pp. 187-197
    • Spitzer, F.1
  • 35
    • 0001164931 scopus 로고
    • Martingales with a multidimensional parameter and stochastic integrals in the plane
    • Springer, Berlin
    • WALSH, J. B. (1986). Martingales with a multidimensional parameter and stochastic integrals in the plane. Lectures in Probabilities and Statistics. Lecture Notes in Math. 1215 329-491. Springer, Berlin.
    • (1986) Lectures in Probabilities and Statistics. Lecture Notes in Math. , vol.1215 , pp. 329-491
    • Walsh, J.B.1
  • 36
    • 0346200258 scopus 로고
    • Note sur les processus d'Ornstein-Uhlenbeck
    • Appendix to P.-A. Meyer. Springer, Berlin
    • WILLIAMS, D. (1982). Appendix to P.-A. Meyer: Note sur les processus d'Ornstein-Uhlenbeck. Séminaire de Probabilities XVI. Lecture Notes in Math. 920 133. Springer, Berlin.
    • (1982) Séminaire de Probabilities XVI. Lecture Notes in Math. , vol.920 , pp. 133
    • Williams, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.