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Volumn 56, Issue 2, 2000, Pages 285-299

Laplacian eigenvalues and distances between subsets of a manifold

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EID: 0034288019     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1090347645     Document Type: Article
Times cited : (7)

References (14)
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    • Alon, N.1    Milman, V.D.2
  • 2
    • 0031484536 scopus 로고    scopus 로고
    • Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution
    • S. Bobkov & M. Ledoux, Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution, Probab. Theory Related Fields 107 (1997) 383-400.
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    • Bobkov, S.1    Ledoux, M.2
  • 3
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    • On the spectrum of noncompact manifolds withfinite volume
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    • Brooks, R.1
  • 4
    • 0001186333 scopus 로고
    • Manteuffel, An upper bound on the diam-eter of a graph from eigenvalues associated with its Laplacian
    • F. R. K. Chung, V. Faber & Thomas A. Manteuffel, An upper bound on the diam-eter of a graph from eigenvalues associated with its Laplacian, SIAM J. Discrete Math. 7 (1994) 443-457.
    • (1994) SIAM J. Discrete Math , vol.7 , pp. 443-457
    • Chung, F.R.K.1    Faber, V.2    Thomas, A.3
  • 5
    • 0030577673 scopus 로고    scopus 로고
    • Upper bounds for eigenvalues of the discrete and continuous Laplace operators
    • F. R. K. Chung, A. Grigor’yan & S.-T. Yau, Upper bounds for eigenvalues of the discrete and continuous Laplace operators, Adv. Math. 117 (1996) 165-178.
    • (1996) Adv. Math , vol.117 , pp. 165-178
    • Chung, F.R.K.1    Grigor’Yan, A.2    Yau, S.-T.3
  • 6
    • 0442303691 scopus 로고    scopus 로고
    • Eigenvalues and diameters for manifolds and graphs
    • (Hsinchu, 1990-1991) Internat. Press, Cambridge, MA
    • F. R. K. Chung, A. Grigor’yan & S.-T. Yau, Eigenvalues and diameters for manifolds and graphs, Tsing Hua lectures on geometry & analysis (Hsinchu, 1990-1991) Internat. Press, Cambridge, MA, 1997, 79-105.
    • (1997) Tsing Hua Lectures on Geometry & Analysis , pp. 79-105
    • Chung, F.R.K.1    Grigor’Yan, A.2    Yau, S.-T.3
  • 9
    • 0001933963 scopus 로고
    • Spectral and function theory for combinatorial Laplacians
    • Jozef Dodziuk & Leon Karp, Spectral and function theory for combinatorial Laplacians, Geometry of Random Motion, Contemp. Math. 73 (1988) 25-40.
    • (1988) Geometry of Random Motion, Contemp. Math , vol.73 , pp. 25-40
    • Dodziuk, J.1    Karp, L.2
  • 12
    • 0002427040 scopus 로고
    • Eigenvalues, diameter, and mean distance in graphs
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    • Mohar, B.1
  • 14
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    • Some applications of modular forms
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    • Sarnak, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.