On the construction of the three dimensional polymer measure

DOI10.1007/BF01199313zbMath0794.60104MaRDI QIDQ1326242

Erwin Bolthausen

Publication date: 15 August 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

coupling constantBrydges-Fröhlich-Sokal constructionsmall coupling parameterthree-dimensional polymer measure

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

The diffusive phase of a model of self-interacting walks ⋮ A new discrete Edwards model and a new polymer measure in two dimensions ⋮ Attractive polymer models for two- and three-dimensional Brownian motion ⋮ Construction of an Edwards' probability measure on \(\mathcal C(\mathbb R_+, \mathbb R)\) ⋮ Self-avoiding fractional Brownian motion -- the Edwards model ⋮ Large deviations for the one-dimensional Edwards model. ⋮ Gibbs measures on Brownian currents ⋮ A renormalization result for the intersection local time of lattice random walks in \(d\geq 3\) dimensions. ⋮ Probabilistic Models of Vortex Filaments

Cites Work

• A local time approach to the self-intersections of Brownian paths in space
• Regularized self-intersection local times of planar Brownian motion
• On Edwards' model for long polymer chains
• On Edwards' model for polymer chains. III. Borel summability
• The intersection local time of the Westwater process
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