We introduce a new type of random walk where the definition of edge repellence/reinforcement is very different from the one in the “traditional” reinforced random walk models and investigate its basic properties, such as null versus positive recurrence, transience, as well as the speed. The two basic cases will be dubbed “impatient” and “ageing” random walks.

中文翻译：

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不耐烦随机游走

我们引入了一种新类型的随机游走，其中边缘排斥/强化的定义与“传统”强化随机游走模型中的定义大不相同，并研究了其基本属性，例如零与正递归、瞬态以及速度。这两种基本情况将被称为“不耐烦”和“老化”随机游走。