On recurrence and transience of self-interacting random walks
On recurrence and transience of self-interacting random walks
复制标题
关于自相互作用随机游走的重复性和短暂性
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Perla Sousi
中科院分区：
文献类型：
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作者：
Y. Peres;S. Popov;Perla Sousi
Let µ1,...,µk be d-dimensional probabilitymeasures in ℝd with mean 0. At each time we choose one of the measures based on the history of the process and take a step according to that measure. We give conditions for transience of such processes and also construct examples of recurrent processes of this type. In particular, in dimension 3 we give the complete picture: every walk generated by two measures is transient and there exists a recurrent walk generated by three measures.
