An Introduction to Once-reinforced Random Walks

报告专家:黄翔宇(清华大学)

报告时间:1月15日(星期三)下午3:40-4:40

报告地点:数学学院西202报告厅

报告摘要:Reinforced random walks on graphs fit in a large family of self-interacting random walks. Different from the simple random walk, the transition probabilities of reinforced random walks depend on the whole past trajectory. As a specific version of the reinforced random walks, once-reinforced random walks (ORRWs) has a simple reinforcement rule, which in fact leads to a further loss of the Markov property. The study on ORRWs is challenging and has no unified method until now. In this talk, I would like to introduce ORRWs and some results on this model, such as recurrence/transience results, large deviations and estimates of cover times.

专家简介黄翔宇,博士毕业于北京大学,目前在清华大学从事博士后,主要研究兴趣包括:随机分析、随机游动、自交互随机过程。

邀请人:胡泽春


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