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- W2771359174 abstract "The aim of this survey is to explain, in a self-contained and relatively beginner-friendly manner, the lace expansion for the nearest-neighbor models of self-avoiding walk and percolation that converges in all dimensions above 6 and 9, respectively. To achieve this, we consider a $d$-dimensional version of the body-centered cubic (BCC) lattice, on which it is extremely easy to enumerate various random-walk quantities. Also, we choose a particular set of bootstrapping functions, by which a notoriously complicated part of the lace-expansion analysis becomes rather transparent." @default.
- W2771359174 created "2017-12-22" @default.
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- W2771359174 date "2017-12-15" @default.
- W2771359174 modified "2023-10-17" @default.
- W2771359174 title "A survey on the lace expansion for the nearest-neighbor models on the BCC lattice" @default.
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- W2771359174 doi "https://doi.org/10.48550/arxiv.1712.05573" @default.
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