论文标题
随机记忆步行
Random Memory Walk
论文作者
论文摘要
我们提出了一个随机步行的简单模型，其中有部分内存，我们称之为\ emph {Random Memory Walk}。我们介绍了这一模型，该模型是因为它模仿了曾经强化的随机行走的行为，并以较小的增强措施模仿了随机行走的行为。我们确定了三个及以上的尺寸的随机记忆行走的瞬态，并表明其缩放限制是布朗运动的瞬间。
We present a simple model of a random walk with partial memory, which we call the \emph{random memory walk}. We introduce this model motivated by the belief that it mimics the behavior of the once-reinforced random walk in high dimensions and with small reinforcement. We establish the transience of the random memory walk in dimensions three and higher, and show that its scaling limit is a Brownian motion.
