Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22672
Bolthausen, E; Deuschel, J-D (1993). Critical large deviations for Gaussian fields in the phase transition regime. I. The Annals of Probability, 21(4):1876-1920.
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We investigate large deviations for the empirical distribution functional of a Gaussian random field on , in the phase transition regime. We first prove that the specific entropy governs an volume order large deviation principle outside the Gibbsian class. Within the Gibbsian class we derive an capacity order large deviation principle with exact rate function, and we apply this result to the asymptotics of microcanonical ensembles. We also give a spins' profile description of the field and show that smooth profiles obey order large deviations, whereas discontinuous profiles obey surface order large deviations.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Large deviations; random fields; Gaussian processes; statistical mechanics|
|Deposited On:||20 May 2010 15:25|
|Last Modified:||28 Nov 2013 01:57|
|Publisher:||Institute of Mathematical Statistics|
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