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Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics

dc.contributor.authorLu, Sheng Linen_US
dc.contributor.authorYau, Horng-Tzeren_US
dc.date.accessioned2006-09-11T17:50:23Z
dc.date.available2006-09-11T17:50:23Z
dc.date.issued1993-09en_US
dc.identifier.citationLu, Sheng Lin; Yau, Horng-Tzer; (1993). "Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics." Communications in Mathematical Physics 156(2): 399-433. <http://hdl.handle.net/2027.42/46486>en_US
dc.identifier.issn0010-3616en_US
dc.identifier.issn1432-0916en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46486
dc.description.abstractWe prove that the spectral gap of the Kawasaki dynamics shrink at the rate of 1/ L 2 for cubes of size L provided that some mixing conditions are satisfied. We also prove that the logarithmic Sobolev inequality for the Glauber dynamics in standard cubes holds uniformly in the size of the cube if the Dobrushin-Shlosman mixing condition holds for standard cubes.en_US
dc.format.extent1440622 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherPhysicsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.titleSpectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamicsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 48109-1092, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherCourant Institute, New York University, 10012, New York, NY, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46486/1/220_2005_Article_BF02098489.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF02098489en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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