Bolthausen, E (1993). On the construction of the three-dimensional polymer measure. Probability Theory and Related Fields, 97(1-2):81-101.
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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.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||coupling constant; three-dimensional polymer measure; small coupling parameter; Brydges-Fröhlich-Sokal construction|
|Deposited On:||20 May 2010 15:17|
|Last Modified:||27 Nov 2013 23:11|
|Citations:||Web of Science®. Times Cited: 19|
Scopus®. Citation Count: 13
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