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Volumn 45, Issue 8, 2002, Pages 975-983

Coupling, convergence rates of Markov processes and weak Poincaré inequalities

Author keywords

Coupling; Harmonic function; Markov process; Tail field; Weak Poincar inequality

Indexed keywords


EID: 0347056958     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02879980     Document Type: Article
Times cited : (6)

References (13)
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  • 3
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  • 4
    • 0001332868 scopus 로고    scopus 로고
    • Uniformly positivity improving property, Sobolev inequalities and spectral gaps
    • Aida, S., Uniformly positivity improving property, Sobolev inequalities and spectral gaps, J. Funct. Anal., 1998, 158: 152-185.
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    • Aida, S.1
  • 6
    • 85034528146 scopus 로고    scopus 로고
    • Quand l'unégalite log-Sobolev implique l'inégalite de trou spectral, Séminaire de Probabilités XXXII, 30-35
    • Berlin: Springer-Verlag
    • Mathieu, P., Quand l'unégalite log-Sobolev implique l'inégalite de trou spectral, Séminaire de Probabilités XXXII, 30-35, Lecture Notes in Math. 1686, Berlin: Springer-Verlag, 1998.
    • (1998) Lecture Notes in Math. , vol.1686
    • Mathieu, P.1
  • 7
    • 0001148591 scopus 로고
    • Coupling and harmonic functions in the case of continuous time Markov processes
    • Cranston, M., Greven, A., Coupling and harmonic functions in the case of continuous time Markov processes, Stoch. Proc. Appl., 1995, 60: 261-286.
    • (1995) Stoch. Proc. Appl. , vol.60 , pp. 261-286
    • Cranston, M.1    Greven, A.2
  • 11
    • 0000490670 scopus 로고    scopus 로고
    • 2-exponential convergence for Markov chains
    • 2-exponential convergence for Markov chains, Stoch. Proc. Appl., 2000, 87: 281-297.
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    • Chen, M.-F.1
  • 12
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    • A condition for the equivalence of coupling and shift coupling
    • Cranston, M., Wang, F.-Y., A condition for the equivalence of coupling and shift coupling, Ann. of Probab., 2000, 28: 1666-1679.
    • (2000) Ann. of Probab. , vol.28 , pp. 1666-1679
    • Cranston, M.1    Wang, F.-Y.2
  • 13
    • 0034419013 scopus 로고    scopus 로고
    • Functional inequalities, semigroup properties and spectrum estimates
    • Wang, F.-Y., Functional inequalities, semigroup properties and spectrum estimates, Infinite Dimens. Anal. Quant. Probab. Rel. Topics, 2000, 3: 263-295.
    • (2000) Infinite Dimens. Anal. Quant. Probab. Rel. Topics , vol.3 , pp. 263-295
    • Wang, F.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.