论文标题
在Gromov Hyperbolic空间上随机步行的大偏差
Large deviations for random walks on Gromov-hyperbolic spaces
论文作者
论文摘要
让$γ$成为一个可数的群体，该群体作用于Geodesic Gromov-Hyperbolic度量空间$ x $和$μ$ $γ$的概率度量，其支持会产生非质量的子元素。假设$μ$具有有限的指数力矩，我们为随机步行的距离和驾驶量$μ$的随机步行的距离和翻译长度建立了较大的偏差结果。从我们的结果来看，我们推断出关于随机基质产物光谱半径较大偏差的特殊情况。
Let $Γ$ be a countable group acting on a geodesic Gromov-hyperbolic metric space $X$ and $μ$ a probability measure on $Γ$ whose support generates a non-elementary subsemigroup. Under the assumption that $μ$ has a finite exponential moment, we establish large deviations results for the distance and the translation length of a random walk with driving measure $μ$. From our results, we deduce a special case of a conjecture regarding large deviations of spectral radii of random matrix products.
