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Volumn 80, Issue 1, 1999, Pages 55-86

Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales

Author keywords

Diffusions; Gaussian approximation; Periodic coefficients; Spectral gaps

Indexed keywords


EID: 0013197322     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(98)00069-6     Document Type: Article
Times cited : (8)

References (15)
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    • Aronson, D.G.1
  • 3
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    • A central limit theorem for diffusions with periodic coefficients
    • Bhattacharya R.N. A central limit theorem for diffusions with periodic coefficients. Ann. Probab. 13:1985;385-396.
    • (1985) Ann. Probab. , vol.13 , pp. 385-396
    • Bhattacharya, R.N.1
  • 4
    • 84972495950 scopus 로고    scopus 로고
    • Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities
    • Bhattacharya, R.N., Götze, F., 1995. Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Bernoulli 1, 81-123. (Correction, ibid, 1996, 2, 107-108.).
    • (1995) Bernoulli , vol.1 , pp. 81-123
    • Bhattacharya, R.N.1    Götze, F.2
  • 5
    • 84972495950 scopus 로고    scopus 로고
    • (Correction
    • Bhattacharya, R.N., Götze, F., 1995. Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Bernoulli 1, 81-123. (Correction, ibid, 1996, 2, 107-108.).
    • (1996) Bernoulli , vol.2 , pp. 107-108
  • 8
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis P., Stroock D.W. Geometric bounds for eigenvalues of Markov chains. Ann. Appl. Probab. 1:1991;36-61.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.W.2
  • 9
    • 0002590276 scopus 로고
    • Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
    • Fill J.A. Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process. Ann. Appl. Probab. 1:1991;62-87.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 62-87
    • Fill, J.A.1
  • 10
    • 0000299549 scopus 로고
    • Asymptotic expansions of sums of weakly dependent random vectors
    • Götze F., Hipp C. Asymptotic expansions of sums of weakly dependent random vectors. Z. Wahrscheinlichkeitstheorie und Verw. Geb. 64:1983;211-239.
    • (1983) Z. Wahrscheinlichkeitstheorie und Verw. Geb. , vol.64 , pp. 211-239
    • Götze, F.1    Hipp, C.2
  • 11
    • 0000688106 scopus 로고
    • Asymptotics of the spectral gap, with applications to simulated annealing
    • Holley R.A., Kusuoka S., Stroock D.W. Asymptotics of the spectral gap, with applications to simulated annealing. J. Funct. Anal. 83:1989;333-347.
    • (1989) J. Funct. Anal. , vol.83 , pp. 333-347
    • Holley, R.A.1    Kusuoka, S.2    Stroock, D.W.3
  • 14
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    • A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
    • Stein, C., 1972. A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proc. 6th Berkeley Symp. Math. Statist. Probab., vol. 2, pp. 583-602.
    • (1972) Proc. 6th Berkeley Symp. Math. Statist. Probab. , vol.2 , pp. 583-602
    • Stein, C.1
  • 15
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    • On the rate of convergence in the central limit theorem for weakly dependent random variables
    • Tikhomirov A.N. On the rate of convergence in the central limit theorem for weakly dependent random variables. Theory Probab. Appl. 25:1980;800-818.
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    • Tikhomirov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.