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Probability Theory and Related Fields
Volumn 114, Issue 2, 1999, Pages 177-205
Confinement of Brownian motion among Poissonian obstacles in ℝd, d ≥ 3

(1)  Povel, Tobias a  

a NONE   (Switzerland)
Author keywords

Brownian motion in random environment; Confinement property
Indexed keywords

EID: 0039441120     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s440-1999-8036-0     Document Type: Article
Times cited : (43)
References (12)
  • 1
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    • Bolthausen, E.1
  • 2
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    • Upperbounds for symmetric Markov transition functions
    • P. Levy
    • Carlen, E.A., Kusuoka, S., Stroock, D.W.: "Upperbounds for symmetric Markov transition functions", Ann. Inst. Poincaré, numéro special P. Levy, 23 (2), 245-287 (1987)
    • (1987) Ann. Inst. Poincaré , vol.23 , Issue.2 NUMERO SPECIAL , pp. 245-287
    • Carlen, E.A.1    Kusuoka, S.2    Stroock, D.W.3
  • 4
    • 84897582692 scopus 로고
    • A quantitative isoperimetric inequality in «-dimensional space
    • Hall, R.R.: "A quantitative isoperimetric inequality in «-dimensional space", J. reine angew. Math. 428, 161-176 (1992)
    • (1992) J. Reine Angew. Math. , vol.428 , pp. 161-176
    • Hall, R.R.1
  • 5
    • 0008690550 scopus 로고
    • The stability of some eigenvalue estimates
    • Melas, A.D.: "The stability of some eigenvalue estimates", J. Differential Geometry, 36, 19-33 (1992)
    • (1992) J. Differential Geometry , vol.36 , pp. 19-33
    • Melas, A.D.1
  • 6
    • 0001815625 scopus 로고
    • Bonessen-style isoperimetric inequalities
    • Osserman, R.: "Bonessen-style isoperimetric inequalities", Amer. Math. Monthly, 86, 1-29 (1979)
    • (1979) Amer. Math. Monthly , vol.86 , pp. 1-29
    • Osserman, R.1
  • 7
    • 0012100855 scopus 로고
    • Convergence of the normalized one dimensional Wiener sausage path measures to a mixture of Brownian taboo processes
    • Schmock, U.: "Convergence of the normalized one dimensional Wiener sausage path measures to a mixture of Brownian taboo processes", Stochastics, (29), 171-183 (1990)
    • (1990) Stochastics , Issue.29 , pp. 171-183
    • Schmock, U.1
  • 8
    • 0039949207 scopus 로고
    • On long excursions of Brownian motion among Poissonian obstacles
    • Stochastic Analysis, M. Barlow and N. Bingham, eds, London Math. Soc., Cambridge University Press
    • Sznitman, A.-S.: "On long excursions of Brownian motion among Poissonian obstacles", in Stochastic Analysis, M. Barlow and N. Bingham, eds, London Math. Soc., Lecture Note Series, Cambridge University Press, 353-375 (1991)
    • (1991) Lecture Note Series , pp. 353-375
    • Sznitman, A.-S.1
  • 9
    • 84990575201 scopus 로고
    • On the confinement property of two-dimensional Brownian motion among Poissonian obstacles
    • Sznitman, A.-S.: "On the confinement property of two-dimensional Brownian motion among Poissonian obstacles", Comm. Pure Appl. Math. (44), 1137-1170 (1991)
    • (1991) Comm. Pure Appl. Math. , Issue.44 , pp. 1137-1170
    • Sznitman, A.-S.1
  • 10
    • 0031484967 scopus 로고    scopus 로고
    • Capacity and principal eigenvalues: The method of enlargement of obstacles revisited
    • Sznitman, A.-S.: "Capacity and principal eigenvalues: The method of enlargement of obstacles revisited", Ann. Probab. 25 (3), 1180-1209 (1997)
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    • Sznitman, A.-S.1
  • 11
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    • Fluctuations of principal eigenvalues and random scales
    • Sznitman, A.-S.: "Fluctuations of principal eigenvalues and random scales", Comm. Math. Phys., 189 (2), 337-363 (1997)
    • (1997) Comm. Math. Phys. , vol.189 , Issue.2 , pp. 337-363
    • Sznitman, A.-S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.