Local Central Limit Theorem for a Random Walk Perturbed in One Point

被引：0
作者：
Giuseppe Genovese
Renato Lucà
机构：
[1] Universität Zürich,Institut für Mathematik
[2] Universität Basel,Departement Mathematik und Informatik
来源：
Mathematical Physics, Analysis and Geometry | 2019年 / 22卷
关键词：
Local central limit theorems; Inhomogeneous random walks; 60F05; 60G50; 60J10;
D O I：
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摘要：
We consider a symmetric random walk on the ν-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.
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