PDE with Random Coefficients and Euclidean Field Theory
dc.contributor.author | Conlon, Joseph G. | en_US |
dc.date.accessioned | 2006-09-11T15:42:37Z | |
dc.date.available | 2006-09-11T15:42:37Z | |
dc.date.issued | 2004-08 | en_US |
dc.identifier.citation | Conlon, Joseph G.; (2004). "PDE with Random Coefficients and Euclidean Field Theory." Journal of Statistical Physics 116 (1-4): 933-958. <http://hdl.handle.net/2027.42/45133> | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45133 | |
dc.description.abstract | In this paper a new proof of an identity of Giacomin, Olla, and Spohn is given. The identity relates the 2 point correlation function of a Euclidean field theory to the expectation of the Green's function for a pde with random coefficients. The Euclidean field theory is assumed to have convex potential. An inequality of Brascamp and Lieb therefore implies Gaussian bounds on the Fourier transform of the 2 point correlation function. By an application of results from random pde, the previously mentioned identity implies pointwise Gaussian bounds on the 2 point correlation function. | en_US |
dc.format.extent | 194418 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Euclidean Field Theory | en_US |
dc.subject.other | Homogenization | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Pde With Random Coefficients | en_US |
dc.title | PDE with Random Coefficients and Euclidean Field Theory | 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, Ann Arbor, Michigan, 48109-1109 | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45133/1/10955_2004_Article_478971.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/B:JOSS.0000037204.93858.f2 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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