Probability Models and Applications Lecture Notes for ERG 2040 ( 2004
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The Lace Expansion and its Applications
ii The Lace Expansion and its Applications The Lace Expansion and its Applications iii Preface Several superficially simple mathematical models, such as the self-avoiding walk and percolation, are paradigms for the study of critical phenomena in statistical mechanics. Although these models have been studied by mathematicians for about half a century, exciting new developments continue to occur ...
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