A Random Tiling Model for Two-Dimensional Electrostatics.082183794X A random tiling model for two-dimensional electrostatics electrostatics, study of phenomena associated with charged bodies at rest (see charge; electricity). A charged body has an excess of positive or negative charges, a condition usually brought about by the transfer of electrons to or from the body. . Ciucu, Mihai. Amer. Mathematical Society 2005 144 pages $60.00 Paperback Memoirs of the American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards to mathematicians. ; v,178, no.839 QA3 This work contains two separate but closely related papers on the correlation of holes in random lozenge lozenge /loz·enge/ (loz´enj) [Fr.] 1. troche; a discoid-shaped, solid, medicinal preparation for solution in the mouth, consisting of an active ingredient incorporated in a suitably flavored base. 2. tilings of the triangular lattice, and on a generalization gen·er·al·i·za·tion n. 1. The act or an instance of generalizing. 2. A principle, a statement, or an idea having general application. of MacMahon's formula. The first paper analyzes the joint correlation of triangular holes when their complement is tiled uniformly at random by lozenges. The asymptotics of the joint correlation are then determined in two cases, and the results are interpreted physically, with holes regarded as electrical charges. The second paper sets out formulas used in the first paper. ([c]20062005 Book News, Inc., Portland, OR) |
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