聖塔非研究所

摘要 We investigate a 隨機 search process in one, two, a

2016-08-10 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We investigate a 隨機 search process in one, two, and three dimensions in which N di. using searchers that all start at x(0) seek a target at the origin. Each of the searchers is also reset…

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  • 類型:已發表論文
  • 日期:2016-08-10

摘要

We investigate a 隨機 search process in one, two, and three dimensions in which N di. using searchers that all start at x(0) seek a target at the origin. Each of the searchers is also reset to its starting point, either with rate r, or deterministically, with a reset time T. In one dimension and for a small number of searchers, the search time and the search cost are minimized at a non-zero optimal reset rate (or time), while for suffciently large N, resetting always hinders the search. In general, a single searcher leads to the minimum search cost in one, two, and three dimensions. When the resetting is deterministic, several unexpected feature arise for N searchers, including the search time being independent of T for 1/T -> 0 and the search cost being independent of N over a suitable rang

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