论文标题
多元稳定局部大偏差的分析证明和确定性动力学系统的应用
Analytic proof of multivariate stable local large deviations and application to deterministic dynamical systems
论文作者
论文摘要
我们为I.I.D.局部大偏差提供了简短的分析证明。多元$α$稳定法的域中的随机变量，（0,1）\ cup（1,2] $。我们的方法同时涵盖了晶格和非层次分布（及其混合物），绕开了对动态设置的证明。
We give a short analytic proof of local large deviations for i.i.d. random variables in the domain of a multivariate $α$-stable law, $α\in(0,1)\cup(1,2]$. Our method simultaneously covers lattice and nonlattice distributions (and mixtures thereof), bypassing aperiodicity considerations. The proof applies also to the dynamical setting.
