Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/136485


Title: 非對稱分支隨機漫步的範圍
The Range of Asymmetric Branching Random Walk
Authors: 紀瑞麟
Chi, Jui-Lin
Contributors: 洪芷漪
Hong, Jyy-I
紀瑞麟
Chi, Jui-Lin
Keywords: 分支隨機過程
分支過程
隨機漫步
Branching random walk
Random walk
Galton-Watson process
Date: 2021
Issue Date: 2021-08-04 15:40:12 (UTC+8)
Abstract: 考慮一個分支過程且族群中的每個個體在出生時皆在實數線上移動, 作一非對稱的隨機漫步, 並記錄每一個個體的位置。︀ 在本篇論文中, 我們證明了當時間趨近於無限大時,實數線上有個體佔據的位置將會是一個區間。︀
We consider a Galton-Watson branching process in which each individual performs an asymmetric random walk on the real line and record the positions of all individuals in each generation. In this thesis, we show that the set of occupied positions is eventually an interval.
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Description: 碩士
國立政治大學
應用數學系
108751003
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0108751003
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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