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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/71426

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71426

Title:	A monotonicity result for the range of a perturbed random walk
Authors:	陳隆奇 Chen, Lung-Chi 孫嶸楓 Sun, Rongfeng
Contributors:	應數系
Keywords:	Pascal principle;Random walk range;Trapping problem;60K37;60K35;82C22
Date:	2014.08
Issue Date:	2014-11-13 17:26:30 (UTC+8)
Abstract:	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
Relation:	Journal of Theoretical Probability, 27(3), 997-1010
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1007/s10959-012-0472-x
DOI:	10.1007/s10959-012-0472-x
Appears in Collections:	[應用數學系] 期刊論文

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