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Weak perturbations of the massless Gaussian measure. (English) Zbl 0829.60035
Rivasseau, Vincent (ed.), Constructive physics. Results in field theory, statistical mechanics and condensed matter physics. Proceedings of the conference, held at Ecole Polytechnique, Palaiseau, France, 25-27 July, 1994. Berlin: Springer-Verlag. Lect. Notes Phys. 446, 37-49 (1995).
Summary: This is a summary of some ideas and estimates that simplify the analysis of scaling limits of infinite volume limits of measures of the form $${1 \over Z} d \mu (\varphi) e^{\int dxf (\varphi, \partial \varphi, \partial \partial \varphi, \ldots)}$$, where $$d \mu (\varphi)$$ is a Gaussian measure with long range correlations.
For the entire collection see [Zbl 0816.00038].

##### MSC:
 60G40 Stopping times; optimal stopping problems; gambling theory 60B05 Probability measures on topological spaces
##### Keywords:
scaling limits; Gaussian measure; long range correlations