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Volumn 232, Issue 1, 2006, Pages 222-258

Spectral gap estimates for interacting particle systems via a Bochner-type identity

Author keywords

Interacting particle systems; Spectral gap estimates

Indexed keywords


EID: 31044434511     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2005.07.012     Document Type: Article
Times cited : (35)

References (21)
  • 3
    • 0001075002 scopus 로고
    • Vector fields and Ricci Curvature
    • S. Bochner Vector fields and Ricci Curvature Bull. Amer. Math. Soc. 52 1946 776-797
    • (1946) Bull. Amer. Math. Soc. , vol.52 , pp. 776-797
    • Bochner, S.1
  • 4
    • 0034345468 scopus 로고    scopus 로고
    • On the spectral gap of Kawasaki dynamics under a mixing condition revisited
    • N. Cancrini F. Martinelli On the spectral gap of Kawasaki dynamics under a mixing condition revisited J. Math. Phys. 41 3 2000 1391-1423
    • (2000) J. Math. Phys. , vol.41 , Issue.3 , pp. 1391-1423
    • Cancrini, N.1    Martinelli, F.2
  • 5
    • 0036267903 scopus 로고    scopus 로고
    • The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
    • N. Cancrini F. Martinelli C. Roberto The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited Ann. Inst. H. Poincaré Probab. Statist. 38 4 2002 385-436
    • (2002) Ann. Inst. H. Poincaré Probab. Statist. , vol.38 , Issue.4 , pp. 385-436
    • Cancrini, N.1    Martinelli, F.2    Roberto, C.3
  • 6
    • 31044442174 scopus 로고    scopus 로고
    • Entropy dissipation estimates in a zero range dynamics
    • preprint math.PR/0405455
    • P. Caputo, G. Posta, Entropy dissipation estimates in a zero range dynamics, preprint math.PR/0405455.
    • Caputo, P.1    Posta, G.2
  • 7
    • 3242674549 scopus 로고
    • An application of the Bakry-Émery criterion to infinite dimensional diffusions
    • Springer, Berlin
    • E.A. Carlen, D.W. Stroock, An application of the Bakry-Émery criterion to infinite dimensional diffusions, in: Seminaire de Probabilités XX, Lecture Notes in Mathematics, vol. 1204, Springer, Berlin, 1986, pp. 341-348.
    • (1986) Seminaire De Probabilités XX, Lecture Notes in Mathematics , vol.1204 , pp. 341-348
    • Carlen, E.A.1    Stroock, D.W.2
  • 8
    • 0036821616 scopus 로고    scopus 로고
    • Entropy inequalities for unbounded spin systems
    • P. Dai Pra A.M. Paganoni G. Posta Entropy inequalities for unbounded spin systems Ann. Probab. 30 4 2002 1959-1976
    • (2002) Ann. Probab. , vol.30 , Issue.4 , pp. 1959-1976
    • Dai Pra, P.1    Paganoni, A.M.2    Posta, G.3
  • 9
    • 38249018162 scopus 로고
    • Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models
    • J.-D. Deuschel D.W. Stroock Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models J. Funct. Anal. 92 1 1990 30-48
    • (1990) J. Funct. Anal. , vol.92 , Issue.1 , pp. 30-48
    • Deuschel, J.-D.1    Stroock, D.W.2
  • 10
    • 0002873443 scopus 로고    scopus 로고
    • Remarks on decay of correlations and Witten Laplacians Brascamp Lieb inequalities and semiclassical limit
    • B. Helffer Remarks on decay of correlations and Witten Laplacians Brascamp Lieb inequalities and semiclassical limit J. Funct. Anal. 155 1998 571-586
    • (1998) J. Funct. Anal. , vol.155 , pp. 571-586
    • Helffer, B.1
  • 11
    • 2942661065 scopus 로고    scopus 로고
    • Glauber dynamics of continuous particle systems
    • preprint, math.PR/0306252
    • Y. Kondratiev, E. Lytvynov, Glauber dynamics of continuous particle systems, preprint math.PR/0306252
    • Kondratiev, Y.1    Lytvynov, E.2
  • 12
    • 0038126292 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for unbounded spin systems revisited
    • Springer Berlin
    • M. Ledoux, Logarithmic Sobolev inequalities for unbounded spin systems revisited, in: Séminaire de Probabilités XXXV, Lecture Notes in Mathematics, vol. 1755, Springer, Berlin, 2001, pp. 167-194.
    • (2001) Séminaire De Probabilités XXXV, Lecture Notes in Mathematics , vol.1755 , pp. 167-194
    • Ledoux, M.1
  • 15
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • S.T. Lu H.-T. Yau Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics Comm. Math. Phys. 156 1993 399-433
    • (1993) Comm. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.T.1    Yau, H.-T.2
  • 16
    • 21344495138 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region II. The general case
    • F. Martinelli E. Olivieri Approach to equilibrium of Glauber dynamics in the one phase region II. The general case Comm. Math. Phys. 161 1994 487-514
    • (1994) Comm. Math. Phys. , vol.161 , pp. 487-514
    • Martinelli, F.1    Olivieri, E.2
  • 17
    • 31044433387 scopus 로고    scopus 로고
    • Spectral gap for the zero range process with constant rate
    • preprint math.PR/0405161
    • B. Morris, Spectral gap for the zero range process with constant rate, preprint math.PR/0405161
    • Morris, B.1
  • 19
    • 0000284028 scopus 로고
    • The logarithmic Sobolev inequality for discrete spin systems on a lattice
    • D.W. Stroock B. Zegarlinski The logarithmic Sobolev inequality for discrete spin systems on a lattice Comm. Math. Phys. 149 1992 175-193
    • (1992) Comm. Math. Phys. , vol.149 , pp. 175-193
    • Stroock, D.W.1    Zegarlinski, B.2
  • 20
    • 44049114661 scopus 로고
    • The logarithmic Sobolev inequality for continuous spin systems on a lattice
    • D.W. Stroock B. Zegarlinski The logarithmic Sobolev inequality for continuous spin systems on a lattice J. Funct. Anal. 104 1992 299-326
    • (1992) J. Funct. Anal. , vol.104 , pp. 299-326
    • Stroock, D.W.1    Zegarlinski, B.2
  • 21
    • 0000794278 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequality for lattice gases with mixing conditions
    • H.-T. Yau Logarithmic Sobolev inequality for lattice gases with mixing conditions Comm. Math. Phys. 181 1996 367-408
    • (1996) Comm. Math. Phys. , vol.181 , pp. 367-408
    • Yau, H.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.