Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
dc.contributor.author | Lu, Sheng Lin | en_US |
dc.contributor.author | Yau, Horng-Tzer | en_US |
dc.date.accessioned | 2006-09-11T17:50:23Z | |
dc.date.available | 2006-09-11T17:50:23Z | |
dc.date.issued | 1993-09 | en_US |
dc.identifier.citation | Lu, 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.issn | 0010-3616 | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46486 | |
dc.description.abstract | We 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.extent | 1440622 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.title | Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109-1092, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Courant Institute, New York University, 10012, New York, NY, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46486/1/220_2005_Article_BF02098489.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF02098489 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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