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The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. The Self-Avoiding Walk provides the first unified account of the known rigorous results for the self-avoiding walk, with particular emphasis on its critical behavior.
Monte Carlo methods form an experimental branch of mathematics that employs simulations driven by random number generators. This book examines the theoretical properties of Monte Carlo methods as well as practical issues concerning their computer implementation and statistical analysis.
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