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- W3100355816 abstract "Abstract We consider self-avoiding walk, percolation and the Ising model with long and finite range. By means of the lace expansion we prove mean-field behavior for these models if d >2( α ∧ 2) for self-avoiding walk and the Ising model, and d >3( α ∧ 2) for percolation, where d denotes the dimension and α the power-law decay exponent of the coupling function. We provide a simplified analysis of the lace expansion based on the trigonometric approach in Borgs et al. (Ann. Probab. 33(5):1886–1944, 2005)." @default.
- W3100355816 created "2020-11-23" @default.
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- W3100355816 date "2008-07-16" @default.
- W3100355816 modified "2023-09-23" @default.
- W3100355816 title "Mean-Field Behavior for Long- and Finite Range Ising Model, Percolation and Self-Avoiding Walk" @default.
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- W3100355816 doi "https://doi.org/10.1007/s10955-008-9580-5" @default.
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