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原文連結
論文資訊
- 類型：已發表論文
- 日期：2022-06-06
摘要
We develop a framework to determine the complete 統計 behavior of a fundamental quantity in the theory of random walks, namely, the probability that n(1), n(2), n(3), ... distinct sites are visited at times t(1), t(2), t(3),... From this multiple-time distribution, we show that the visitation statistics of one-dimensional random walks are temporally correlated, and we quantify the non-馬可夫ian nature of the process. We exploit these ideas to derive unexpected results for the two-time trapping problem and to determine the visitation statistics of two important 隨機 processes, the run-and-tumble particle and the biased random walk.
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