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Local Central Limit Theorem for a Random Walk Perturbed in One Point
Mathematical Physics, Analysis and Geometry ( IF 1 ) Pub Date : 2019-07-09 , DOI: 10.1007/s11040-019-9316-6
Giuseppe Genovese , Renato Lucà

We consider a symmetric random walk on the $\nu$-dimensional lattice, whose exit probability from the origin is modified by an antisymmetric perturbation and prove the local central limit theorem for this process. A short-range correction to diffusive behaviour appears in any dimension along with a long-range correction in the one-dimensional case.

中文翻译:

单点扰动的随机游走的局部中心极限定理

我们考虑 $\nu$ 维晶格上的对称随机游走,其从原点的退出概率被反对称扰动修改,并证明了该过程的局部中心极限定理。漫射行为的短程校正出现在任何维度,同时在一维情况下出现长程校正。
更新日期:2019-07-09
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