CLE6 from critical percolation

CLE6 from critical percolation
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来自临界渗透的 CLE6

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
Charles M. Newman
Charles M. Newman
中科院分区:
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文献类型:
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作者:
F. Camia;Charles M. Newman

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我们回顾了二维临界渗流标度极限的一些最新进展,特别是到弦SLE6的探索路径的收敛和团簇界面环的全标度极限。本文给出的全标度极限及其共形不变性的结果推广了前人的结果。对于三角形晶格上的位置渗流,结果是完全严格的。我们解释了一些主要思想,跳过了大部分技术细节。
We review some of the recent progress on the scaling limit of two-dimensional critical percolation; in particular, the convergence of the exploration path to chordal SLE6 and the full scaling limit of cluster interface loops. The results given here on the full scaling limit and its conformal invariance extend those presented previously. For site percolation on the triangular lattice, the results are fully rigorous. We explain some of the main ideas, skipping most technical details.