论文标题
关键平面渗透中手臂概率的尖锐渐近学
Sharp asymptotics for arm probabilities in critical planar percolation
论文作者
论文摘要
在这项工作中，我们考虑了三角形晶格上的关键平面现场渗透，并对$ j \ geq 1 $ and Planar（polychronical）$ j $ arm y-arm Arm Events $ j> 1 $的Y-J \ geq 1 $的概率进行了敏锐的估计。这些估计值大大改善了先前的结果，特别是答案（很大一部分）Schramm（ICM Proc。，2006）。
In this work, we consider critical planar site percolation on the triangular lattice and derive sharp estimates on the asymptotics of the probability of half-plane $j$-arm events for $j \geq 1$ and planar (polychromatic) $j$-arm events for $j>1$. These estimates greatly improve previous results and in particular answer (a large part of) a question of Schramm (ICM Proc., 2006).
