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https://ah.lib.nccu.edu.tw/handle/140.119/71426
題名: | A monotonicity result for the range of a perturbed random walk | 作者: | 陳隆奇 Chen, Lung-Chi 孫嶸楓 Sun, Rongfeng |
貢獻者: | 應數系 | 關鍵詞: | Pascal principle;Random walk range;Trapping problem;60K37;60K35;82C22 | 日期: | 2014 | 上傳時間: | 13-Nov-2014 | 摘要: | We consider a discrete time simple symmetric random walk on Zd,d≥1, where the path of the walk is perturbed by inserting deterministic jumps. We show that for any time n∈N and any deterministic jumps that we insert, the expected number of sites visited by the perturbed random walk up to time n is always larger than or equal to that for the unperturbed walk. This intriguing problem arises from the study of a particle among a Poisson system of moving traps with sub-diffusive trap motion. In particular, our result implies a variant of the Pascal principle, which asserts that among all deterministic trajectories the particle can follow, the constant trajectory maximizes the particle’s survival probability up to any time | 關聯: | Journal of Theoretical Probability, 27(3), 997-1010 | 資料類型: | article | DOI: | http://dx.doi.org/10.1007/s10959-012-0472-x |
Appears in Collections: | 期刊論文 |
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