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On the construction of the three-dimensional polymer measure - Zurich Open Repository and Archive


Bolthausen, E (1993). On the construction of the three-dimensional polymer measure. Probability Theory and Related Fields, 97(1-2):81-101.

Abstract

The three dimensional polymer measure was first constructed by Westwater in 1980 with a very complicated proof. We give an alternative construction for small coupling parameter which is based on the approach by Brydges-Fröhlich-Sokal in quantum field theory and Bovier-Felder-Fröhlich, using skeleton inequalities. The main new features are the proof of convergence which had been open in the Brydges-Fröhlich-Sokal construction, and the construction of the measure on the space of paths with fixed time length.

Abstract

The three dimensional polymer measure was first constructed by Westwater in 1980 with a very complicated proof. We give an alternative construction for small coupling parameter which is based on the approach by Brydges-Fröhlich-Sokal in quantum field theory and Bovier-Felder-Fröhlich, using skeleton inequalities. The main new features are the proof of convergence which had been open in the Brydges-Fröhlich-Sokal construction, and the construction of the measure on the space of paths with fixed time length.

Citations

20 citations in Web of Science®
16 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:coupling constant; three-dimensional polymer measure; small coupling parameter; Brydges-Fröhlich-Sokal construction
Language:English
Date:1993
Deposited On:20 May 2010 15:17
Last Modified:05 Apr 2016 13:28
Publisher:Springer
ISSN:0178-8051
Publisher DOI:https://doi.org/10.1007/BF01199313
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0794.60104

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