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Grad ø perturbations of massless Gaussian fields
Authors:David Brydges  Horng-Tzer Yau
Institution:(1) Department of Mathematics, Mathematics and Astronomy Bldg, University of Virginia, 22903 Charlottesville, VA, USA;(2) Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012 New York, NY, USA
Abstract:We investigate weak perturbations of the continuum massless Gaussian measure by a class of approximately local analytic functionals and use our general results to give a new proof that the pressure of the dilute dipole gas is analytic in the activity.Research partially supported by NSF Grant DMS-8802912Research partially supported by NSF Grant DMS-8601978 and DMS-8806731
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