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Volumn 36, Issue 1, 1996, Pages 73-92

A probabilistic scheme for collapse of metrics

(2)  Ogura, Yukio a   Taniguchi, Setsuo a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030530114     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518605     Document Type: Article
Times cited : (8)

References (11)
  • 1
    • 0040460272 scopus 로고
    • Collapsing Riemannian manifolds and eigenvalues of Laplace operator
    • K. Fukaya, Collapsing Riemannian manifolds and eigenvalues of Laplace operator, Invent. Math., 87 (1987), 517-547.
    • (1987) Invent. Math. , vol.87 , pp. 517-547
    • Fukaya, K.1
  • 4
    • 0001572330 scopus 로고
    • Uniqueness of ground states for Schrödinger operators over loop groups
    • L. Gross, Uniqueness of ground states for Schrödinger operators over loop groups, J. Funct. Anal., 112 (1993), 373-441.
    • (1993) J. Funct. Anal. , vol.112 , pp. 373-441
    • Gross, L.1
  • 5
    • 0011366069 scopus 로고
    • A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions
    • (M. A. Pinsky, ed.), Birkhäuser, Boston
    • N. Ikeda and Y. Ogura, A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions, Diffusion processes and related problems in analysis, Vol. I (M. A. Pinsky, ed.), Birkhäuser, Boston, 1990, pp. 293-312.
    • (1990) Diffusion Processes and Related Problems in Analysis , vol.1 , pp. 293-312
    • Ikeda, N.1    Ogura, Y.2
  • 7
    • 0004190360 scopus 로고
    • Princeton Univ. Press, Princeton
    • J. W. Milnor, Morse theory, Princeton Univ. Press, Princeton, 1963.
    • (1963) Morse Theory
    • Milnor, J.W.1
  • 8
    • 85033764668 scopus 로고    scopus 로고
    • Convergence of riemannian metrics and diffusion processes
    • Y. Ogura, Convergence of Riemannian metrics and diffusion processes, Submitted to Advanced Studies in Pure Mathematics.
    • Advanced Studies in Pure Mathematics
    • Ogura, Y.1
  • 9
    • 0003700733 scopus 로고
    • The thermodynamic pressure in quantum statistical mechanics
    • Springer-Verlag, Berlin-Heidelberg-New York
    • D. W. Robinson, The thermodynamic pressure in quantum statistical mechanics, Lec. Notes in Physics 9, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
    • (1971) Lec. Notes in Physics , vol.9
    • Robinson, D.W.1
  • 10
    • 51649141644 scopus 로고
    • Sous-espace hilbertiens d'espaces vectoriels topologiques et noyaux associés (noyaux reproduisants)
    • L. Schwartz, Sous-espace hilbertiens d'espaces vectoriels topologiques et noyaux associés (noyaux reproduisants), J. Funct. d'Analys. Math. Jerusalem, 13 (1964), 115-256.
    • (1964) J. Funct. d'Analys. Math. Jerusalem , vol.13 , pp. 115-256
    • Schwartz, L.1
  • 11
    • 0000941292 scopus 로고
    • A canonical decomposition for quadratic forms with application to monotone convergence theorems
    • B. Simon, A canonical decomposition for quadratic forms with application to monotone convergence theorems, J. Funct. Anal., 28 (1978), 377-385.
    • (1978) J. Funct. Anal. , vol.28 , pp. 377-385
    • Simon, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.