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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 eld theory to the expectation of the Green's function for a pde with random coecients. The Euclidean eld 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... (Update)
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BibTeX entry: (Update)
@misc{ conlon-pde,
author = "Joseph G. Conlon",
title = "PDE with Random Coefficients and Euclidean Field Theory",
url = "citeseer.ist.psu.edu/624423.html" }
Citations (may not include all citations):196 Probability: theory and examples (context) - Durrett - 1996
22 On extensions of the Brunn-Minkowski and Prekopa-Leindler t.. (context) - Brascamp, Lieb - 1976
14 Boundary value problems with rapidly oscillating random coec.. (context) - Papanicolaou, Varadhan - 1981
10 Motion by mean curvature from the Ginzburg-Landau r interfa.. (context) - Funaki, Spohn - 1997
9 Gibbs measures relative to Brownian motion - Osada, Spohn
8 On homogenization and scaling limit of some gradient perturb.. - Naddaf, Spencer - 1997
4 Equilibrium uctuations for r interface model (context) - Giacomin, Olla et al. - 2001
3 Greens Functions for Elliptic and Parabolic Equations with R.. (context) - Conlon, Naddaf
3 Averaging of random structures (context) - Kozlov - 1978
3 Correlation functions of general observables in dipole-type .. (context) - Brydges, Keller
3 Greens Functions for Elliptic and Parabolic Equations with R.. (context) - Conlon - 2002
1 the correlation for Kac-like models in the convex case (context) - Hel, Sj et al.
1 perturbations of massless Gaussian elds (context) - Brydges, Yau - 1990
1 convergence rates for r interface models (context) - Delmotte, Deuschel - 2003
1 On estimating the derivatives of symmetric di usions in stat.. (context) - Delmotte, Deuschel - 2003
1 the free eld and statistical mechanics (context) - Spencer
1 mail address: conlon@umich (context) - Zhikov, Kozlov et al. - 1994
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