The Scaling Limit of Lattice Trees in High Dimensions
β Scribed by Eric Derbez; Gordon Slade
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 428 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
A general formulation is presented for continuum scaling limits of stochastic spanning trees. A spanning tree is expressed in this limit through a consistent collection of subtrees, which includes a tree for every finite set of endpoints in β«ήβ¬ d . Tightness of the distribution, as β¦ Βͺ 0, is establi
We give a lattice construction of the discretizations of the topologically nontrivial maps S 2~ ~S ' . For n = 1, 2,4, 8, these are the Hopf maps. The construction, based on Barnes-Wall lattices, Reed Muller error-correcting codes, and Hadamard matrices, generalizes to n = 2' for i any integer. Mant
We discuss a perturbation expansion about the atomic limit of the Hubbard model, i.e. the inter-atomic hopping of electrons is treated as a perturbation. Diagrammatic rules for the calculation of the Green's function of the d-dimensional Hubbard model are described. In the limit of high lattice dime