论文标题
一项不变度量的零法律和局部限制定理，用于一般线性群的随机行走系数
A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
论文作者
论文摘要
我们证明了为代数设置的固定措施的零法律概括了Furstenberg [13]和Guivarc'H和Le Page [20]。作为应用程序，我们为一般线性组随机步行系数的系数建立了局部极限定理。
We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [20]. As an application, we establish a local limit theorem for the coefficients of random walks on the general linear group.
