On Edwards' model for long polymer chains

DOI10.1007/BF01197632zbMath0431.60100OpenAlexW4247019234MaRDI QIDQ1138309

M. J. Westwater

Publication date: 1980

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197632

zbMATH Keywords

interactionpolymer physicsprobability measure on continuous paths

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Foundations of thermodynamics and heat transfer (80A05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local time and a particle picture for Euclidean field theory
• Probabilistic methods in some problems of scattering theory
• Some probabilistic techniques in field theory
• Wiener path intersections and local time
• An extension of a theorem of S. J. Taylor concerning the multiple points of the symmetric stable process
• The statistical mechanics of polymers with excluded volume
• Multiple points for the sample paths of the symmetric stable process
• Stationary Stochastic Processes. (MN-8)

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