A new discrete Edwards model and a new polymer measure in two dimensions

DOI10.1007/BF02101903zbMath0851.60075MaRDI QIDQ1918107

Xian Yin Zhou, Sergio A. Albeverio

Publication date: 4 November 1996

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

zbMATH Keywords

polymer measureasymptotic behavioursEdwards models

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• The range of stable random walks
• Markov processes as a tool in field theory
• Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
• On Edwards' model for long polymer chains
• On Edwards' model for polymer chains. III. Borel summability
• Self-avoiding walk on a hierarchical lattice in four dimensions
• Polymers in a weak random potential in dimension four: Rigorous renormalization group analysis
• On the construction of the three dimensional polymer measure
• Random walks and intersection local time
• The statistical mechanics of polymers with excluded volume
• Invariance principles for Brownian intersection local time and polymer measures.
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