论文标题
在四臂指数上，以进行批判性的2D渗透
On the four-arm exponent for 2D percolation at criticality
论文作者
论文摘要
对于批判性的二维渗透，我们讨论了多色素四臂指数的不等式$α_4> 1 $（并且更强的版本，迄今为止最强的是$α_4\ geq 1 + \ frac {α_2} {α_2} {2} {2} {2} {2} $，其中$α_2$ den_2 $ demenotes the两臂的数量）。我们首先简要讨论文献中的五个证据（其中一些证据是隐式的，而不是独立的）。然后，我们观察到，通过将其中两个结合在一起，一个人获得了一个完全独立的（但很短）的证据。
For two-dimensional percolation at criticality, we discuss the inequality $α_4 > 1$ for the polychromatic four-arm exponent (and stronger versions, the strongest so far being $α_4 \geq 1 + \frac{α_2}{2}$, where $α_2$ denotes the two-arm exponent). We first briefly discuss five proofs (some of them implicit and not self-contained) from the literature. Then we observe that, by combining two of them, one gets a completely self-contained (and yet quite short) proof.
