Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/71426
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | en_US |
dc.creator | 陳隆奇 | zh_TW |
dc.creator | Chen, Lung-Chi | en_US |
dc.creator | 孫嶸楓 | zh_TW |
dc.creator | Sun, Rongfeng | en_US |
dc.date | 2014.08 | en_US |
dc.date.accessioned | 2014-11-13T09:26:30Z | - |
dc.date.available | 2014-11-13T09:26:30Z | - |
dc.date.issued | 2014-11-13T09:26:30Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/71426 | - |
dc.description.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 | en_US |
dc.format.extent | 230289 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.relation | Journal of Theoretical Probability, 27(3), 997-1010 | en_US |
dc.subject | Pascal principle;Random walk range;Trapping problem;60K37;60K35;82C22 | en_US |
dc.title | A monotonicity result for the range of a perturbed random walk | en_US |
dc.type | article | en |
dc.identifier.doi | 10.1007/s10959-012-0472-x | - |
dc.doi.uri | http://dx.doi.org/10.1007/s10959-012-0472-x | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.languageiso639-1 | en_US | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
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997-1010.pdf | 224.89 kB | Adobe PDF2 | View/Open |
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