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The selfavoiding walk is a mathematical model with important applications in statistical mechanics and polymer science. This text provides a unified account of the rigorous results for the selfavoiding walk, focusing on its critical behaviour. Topics discussed the lace explosion and its application to the selfavoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; an exposition of Kesten's pattern theorem and its consequences; a discussion of the decay of the twopoint function and its relation to probabilistic renewal theory; and the role of the selfavoiding walk in physical and chemical applications.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
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