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Volumn 25, Issue 3, 1997, Pages 1180-1209

Capacity and principal eigenvalues: The method of enlargement of obstacles revisited

Author keywords

Enlargement of obstacles; Principal eigenvalues; Quantitative Wiener criterion

Indexed keywords


EID: 0031484967     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404510     Document Type: Article
Times cited : (11)

References (16)
  • 2
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    • Benjamini, I.1    Peres, Y.2
  • 3
    • 0001629028 scopus 로고
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    • Bourgain, J.1
  • 6
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    • Hausdorff dimension of harmonic measures in the plane
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    • Jones, P.W.1    Wolff, T.M.2
  • 7
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    • Probabilistic methods in some problems of scattering theory
    • KAC, M. (1974). Probabilistic methods in some problems of scattering theory. Rocky Mountain J. Math. 4 511-537.
    • (1974) Rocky Mountain J. Math. , vol.4 , pp. 511-537
    • Kac, M.1
  • 8
    • 0012393999 scopus 로고
    • Electrostatic capacity and eigenvalue of the Laplacian
    • OZAWA, S. (1983). Electrostatic capacity and eigenvalue of the Laplacian. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 30 53-62.
    • (1983) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.30 , pp. 53-62
    • Ozawa, S.1
  • 9
    • 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
  • 10
    • 49549147199 scopus 로고
    • Potential and scattering theory on wildly perturbed domains
    • RAUCH, J. and TAYLOR, M. (1975). Potential and scattering theory on wildly perturbed domains. J. Funct. Anal. 18 25-59.
    • (1975) J. Funct. Anal. , vol.18 , pp. 25-59
    • Rauch, J.1    Taylor, M.2
  • 11
    • 0005510987 scopus 로고
    • Asymptotic variational formulae for eigenvalues
    • SWANSON, C. A. (1963). Asymptotic variational formulae for eigenvalues. Canad. Math. Bull. 6 305-316.
    • (1963) Canad. Math. Bull. , vol.6 , pp. 305-316
    • Swanson, C.A.1
  • 12
    • 0039458399 scopus 로고
    • Brownian survival among Gibbsian traps
    • SZNITMAN, A. S. (1993). Brownian survival among Gibbsian traps. Ann. Probab. 21 490-509.
    • (1993) Ann. Probab. , vol.21 , pp. 490-509
    • Sznitman, A.S.1
  • 13
    • 0042050593 scopus 로고
    • Brownian asymptotics in a poissonian environment
    • SZNITMAN, A. S. (1993). Brownian asymptotics in a Poissonian environment. Probab. Theory Related Fields 95 155-174.
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    • Sznitman, A.S.1
  • 14
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    • Brownian motion and obstacles
    • (A. Joseph et al., eds.) Birkhäuser, Basel
    • SZNITMAN, A. S. (1994). Brownian motion and obstacles. In First European Congress of Mathematics (A. Joseph et al., eds.) 1 225-248. Birkhäuser, Basel.
    • (1994) First European Congress of Mathematics , vol.1 , pp. 225-248
    • Sznitman, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.