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Comp."],"published-print":{"date-parts":[[2013,7]]},"abstract":"<jats:p>We compute the first three terms of the 1\/<jats:italic>d<\/jats:italic>expansions for the growth constants and one-point functions of nearest-neighbour lattice trees and lattice (bond) animals on the integer lattice<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0963548313000102_inline1\"\/><jats:tex-math>$\\mathbb{Z}^d$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, with rigorous error estimates. The proof uses the lace expansion, together with a new expansion for the one-point functions based on inclusion\u2013exclusion.<\/jats:p>","DOI":"10.1017\/s0963548313000102","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T16:42:06Z","timestamp":1366044126000},"page":"527-565","source":"Crossref","is-referenced-by-count":8,"title":["Expansion in High Dimension for the Growth Constants of Lattice Trees and Lattice Animals"],"prefix":"10.1017","volume":"22","author":[{"given":"YURI","family":"MEJ\u00cdA MIRANDA","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GORDON","family":"SLADE","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2013,4,15]]},"reference":[{"key":"S0963548313000102_ref29","doi-asserted-by":"crossref","unstructured":"Penrose M. D. (1994) Self-avoiding walks and trees in spread-out lattices. 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