无序系统、生成树与SLE
Disordered Systems, Spanning Trees and SLE
摘要：
我们定义了一个平面图上路径的极小化问题，在蜂窝格子上，它等价于临界点渗流的探索路径，并且具有与SLE_6相同的标度极限。我们数值研究这个模型（测试其他晶格和不同的边界条件下的几个SLE属性），并在生成树中说明它。这个问题的陈述允许在二维图上定义树的随机生长过程，使得SLE被恢复为边界条件的特殊选择。
英文摘要：
We define a minimization problem for paths on planar graphs that, on the honeycomb lattice, is equivalent to the exploration path of the critical site percolation and than has the same scaling limit of SLE_6. We numerically study this model (testing several SLE properties on other lattices and with different boundary conditions) and state it in terms of spanning trees. This statement of the problem allows the definition of a random growth process for trees on two dimensional graphs such that SLE is recovered as a special choice of boundary conditions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
