메뉴 건너뛰기




Volumn 54, Issue 3, 2001, Pages 259-293

Short-time asymptotics in dirichlet spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035580409     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200103)54:3<259::AID-CPA1>3.0.CO;2-K     Document Type: Article
Times cited : (23)

References (28)
  • 2
    • 85037275495 scopus 로고    scopus 로고
    • On the small ime asymptotics of diffusion processes on path groups
    • in press
    • Aida, S.; Zhang, T. On the small ime asymptotics of diffusion processes on path groups. Potential Anal., in press.
    • Potential Anal.
    • Aida, S.1    Zhang, T.2
  • 3
    • 0011451549 scopus 로고
    • Dirichlet forms and analysis on Wiener space
    • Walter de Gruyter, Berlin
    • Bouleau, N.; Hirsh, F. Dirichlet forms and analysis on Wiener space. de Gruyter Studies in Mathematics, 14. Walter de Gruyter, Berlin, 1991.
    • (1991) De Gruyter Studies in Mathematics , vol.14
    • Bouleau, N.1    Hirsh, F.2
  • 4
    • 0001683890 scopus 로고
    • Explicit constants for Gaussian upper bounds on heat kernels
    • Davies, E. B. Explicit constants for Gaussian upper bounds on heat kernels. Amer. J. Math. 109 (1987), no. 2, 319-333.
    • (1987) Amer. J. Math. , vol.109 , Issue.2 , pp. 319-333
    • Davies, E.B.1
  • 5
    • 0003287060 scopus 로고
    • Heat kernels and spectral theory
    • Cambridge University Press, Cambridge-New York
    • Davies, E. B. Heat kernels and spectral theory. Cambridge Tracts in Mathematics, 92. Cambridge University Press, Cambridge-New York, 1989.
    • (1989) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 6
    • 0038609738 scopus 로고
    • Rademacher's theorem for Wiener functionals
    • Enchev, O.; Stroock, D. W. Rademacher's theorem for Wiener functionals. Ann. Probab. 21 (1993), no. 1, 25-33.
    • (1993) Ann. Probab. , vol.21 , Issue.1 , pp. 25-33
    • Enchev, O.1    Stroock, D.W.2
  • 7
    • 0027553844 scopus 로고
    • Fleming-Viot processes in population genetics
    • Ethier, S. N.; Kurtz, T. G. Fleming-Viot processes in population genetics. SIAM J. Control Optim. 31 (1993), no. 2, 345-386.
    • (1993) SIAM J. Control Optim. , vol.31 , Issue.2 , pp. 345-386
    • Ethier, S.N.1    Kurtz, T.G.2
  • 8
    • 0000145028 scopus 로고
    • Inéqualité du type poincaré sur l'espace de chemins riemanniens
    • Fang, S. Z. Inéqualité du type Poincaré sur l'espace de chemins riemanniens. C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 3, 257-260.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.318 , Issue.3 , pp. 257-260
    • Fang, S.Z.1
  • 9
    • 0002231348 scopus 로고
    • On the Ornstein-Uhlenbeck process
    • Fang, S. On the Ornstein-Uhlenbeck process. Stochastics Stochastics Rep. 46 (1994), 141-159.
    • (1994) Stochastics Stochastics Rep. , vol.46 , pp. 141-159
    • Fang, S.1
  • 11
    • 0002530893 scopus 로고
    • The conservation property of the heat equation on Riemannian manifolds
    • Gaffney, M. P. The conservation property of the heat equation on Riemannian manifolds. Comm. Pure Appl. Math. 12 (1959), 1-11.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 1-11
    • Gaffney, M.P.1
  • 12
    • 85031487865 scopus 로고    scopus 로고
    • On short time asymptotic behavior of some symmetric diffusions on general state spaces
    • in press
    • Hino, M. On short time asymptotic behavior of some symmetric diffusions on general state spaces. Potential Anal., in press.
    • Potential Anal.
    • Hino, M.1
  • 13
    • 0001035720 scopus 로고    scopus 로고
    • Analysis on path and loop spaces
    • Probability theory and applications (Princeton, NJ, 1996), American Mathematical Society, Providence, R.I.
    • Hsu, E. P. Analysis on path and loop spaces. Probability theory and applications (Princeton, NJ, 1996), 277-347. IAS/Park City Mathematics Series, 6. American Mathematical Society, Providence, R.I., 1999.
    • (1999) IAS/Park City Mathematics Series , vol.6 , pp. 277-347
    • Hsu, E.P.1
  • 14
    • 0002053242 scopus 로고
    • Dirichlet forms and diffusion processes on Banach spaces
    • Kusuoka, S. Dirichlet forms and diffusion processes on Banach spaces. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29 (1982), no. 1,79-85.
    • (1982) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.29 , Issue.1 , pp. 79-85
    • Kusuoka, S.1
  • 15
    • 0001220564 scopus 로고
    • A crossing estimate for the canonical process on a Dirichlet space and a tightness result
    • Lyons, T. J.; Zheng, W. A. A crossing estimate for the canonical process on a Dirichlet space and a tightness result. Astérisque 157-158 (1988), 249-272.
    • (1988) Astérisque , vol.157-158 , pp. 249-272
    • Lyons, T.J.1    Zheng, W.A.2
  • 17
    • 0002351322 scopus 로고    scopus 로고
    • Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds
    • Norris, J. R. Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds. Acta Math. 179 (1997), no. 1, 79-103.
    • (1997) Acta Math. , vol.179 , Issue.1 , pp. 79-103
    • Norris, J.R.1
  • 18
    • 0000842034 scopus 로고
    • Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients
    • Norris, J. R.; Stroock, D. W. Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients. Proc. London Math. Soc. (3) 62 (1991), no. 2, 373-402.
    • (1991) Proc. London Math. Soc. (3) , vol.62 , Issue.2 , pp. 373-402
    • Norris, J.R.1    Stroock, D.W.2
  • 19
    • 0004057553 scopus 로고
    • Second edition. International Series in Pure and Applied Mathematics. McGraw-Hill, New York
    • Rudin, W. Functional analysis. Second edition. International Series in Pure and Applied Mathematics. McGraw-Hill, New York, 1991.
    • (1991) Functional Analysis
    • Rudin, W.1
  • 20
    • 0031481652 scopus 로고    scopus 로고
    • Geometric aspects of Fleming-Viot and Dawson-Watanabe processes
    • Schied, A. Geometric aspects of Fleming-Viot and Dawson-Watanabe processes. Ann. Probab. 25 (1997), no. 3, 1160-1179.
    • (1997) Ann. Probab. , vol.25 , Issue.3 , pp. 1160-1179
    • Schied, A.1
  • 22
    • 0000576153 scopus 로고
    • Diffusion semigroups corresponding to uniformly elliptic divergence form operators
    • Lecture Notes in Mathematics, 1321. Springer, Berlin-New York
    • Stroock, D. W. Diffusion semigroups corresponding to uniformly elliptic divergence form operators. Séminaire de Probabilités, XXII, 316-347. Lecture Notes in Mathematics, 1321. Springer, Berlin-New York, 1988.
    • (1988) Séminaire de Probabilités , vol.22 , pp. 316-347
    • Stroock, D.W.1
  • 23
    • 0040648543 scopus 로고    scopus 로고
    • An introduction to analysis on path space
    • Probability theory and applications (Princeton, NJ, 1996), American Mathematical Society, Providence, R.I.
    • Stroock, D. W. An introduction to analysis on path space. Probability theory and applications (Princeton, NJ, 1996), 227-276. IAS/Park City Mathematics Series, 6. American Mathematical Society, Providence, R.I., 1999.
    • (1999) IAS/Park City Mathematics Series , vol.6 , pp. 227-276
    • Stroock, D.W.1
  • 24
  • 25
    • 84972506714 scopus 로고
    • Analysis on local Dirichlet spaces. II. Upper Gaussion estimates for the fundamental solutions of parabolic equations
    • Sturm, K.-T. Analysis on local Dirichlet spaces. II. Upper Gaussion estimates for the fundamental solutions of parabolic equations. Osaka J. Math. 32 (1995), no. 2, 275-312.
    • (1995) Osaka J. Math. , vol.32 , Issue.2 , pp. 275-312
    • Sturm, K.-T.1
  • 26
    • 0001581975 scopus 로고    scopus 로고
    • Analysis on local Dirichlet spaces. III. The parabolic Harnack inequality
    • Sturm, K.-T. Analysis on local Dirichlet spaces. III. The parabolic Harnack inequality. J. Math. Pures Appl. (9) 75 (1996), no. 3, 273-297.
    • (1996) J. Math. Pures Appl. (9) , vol.75 , Issue.3 , pp. 273-297
    • Sturm, K.-T.1
  • 27
    • 84981752303 scopus 로고
    • On the behavior of the fundamental solution of the heat equation with variable coefficients
    • Varadhan, S. R. S. On the behavior of the fundamental solution of the heat equation with variable coefficients. Comm. Pure Appl. Math. 20 (1967), 431-455.
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 431-455
    • Varadhan, S.R.S.1
  • 28
    • 85037264421 scopus 로고    scopus 로고
    • On the small time asymptotics of diffusion processes on Hilbert spaces
    • in press
    • Zhang, T. S. On the small time asymptotics of diffusion processes on Hilbert spaces. Ann. Probab., in press.
    • Ann. Probab.
    • Zhang, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.