论文标题
曼哈顿和洛伦兹镜模型 - 镜子密度低的气缸的结果
The Manhattan and Lorentz Mirror Models -- A result on the Cylinder with low density of mirrors
论文作者
论文摘要
我们在有限的宽度$ n $的无限缸上研究曼哈顿和洛伦兹镜模型，带有镜像概率$ p $满足$ p <cn^{ - 1} $，$ c $ a consance。我们使用Brauer和围墙的Brauer代数来表明Walker沿着圆柱体沿线的最大高度为订单$ P^{ - 2} $。
We study the Manhattan and Lorentz Mirror models on an infinite cylinder of finite even width $n$, with the mirror probability $p$ satisfying $p<Cn^{-1}$, $C$ a constant. We use the Brauer and Walled Brauer algebras to show that the maximum height along the cylinder reached by a walker is order $p^{-2}$.
