论文标题

跨越阿基米德晶格上森林的指数增长常数:上限的值和比较

Exponential Growth Constants for Spanning Forests on Archimedean Lattices: Values and Comparisons of Upper Bounds

论文作者

Chang, Shu-Chiuan, Shrock, Robert

论文摘要

我们将上限在指数增长常数$ ϕ(λ)上进行比较,以表征Archimedean Lattices $λ$的跨性别森林的渐近行为,并具有最近派生的上限。我们在$ ϕ(λ)$上的上限非常接近我们计算出的$ ϕ(λ)$的相应值,这些晶格的上限比新的上限要好得多。

We compare our upper bounds on the exponential growth constant $ϕ(Λ)$ characterizing the asymptotic behavior of spanning forests on Archimedean lattices $Λ$ with recently derived upper bounds. Our upper bounds on $ϕ(Λ)$, which are very close to the respective values of $ϕ(Λ)$ that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.

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