Symmetric Covering in a Simple Random Walk

碩士 === 國立彰化師範大學 === 數學系所 === 101 === Let Sn be the position of a simple random walk (starting at 0) at time n, and let Ln = min 0in Si, Rn = max 0in Si. The range of the walk at time n is then the interval [Ln;Rn]. Dene N to be the stopping time when the range of the walk becomes a symmetric interva...

Full description

Bibliographic Details
Main Authors: Li-Chen Lin, 林涖晨
Other Authors: 蕭守仁
Format: Others
Language:en_US
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/43638124361429621617
Description
Summary:碩士 === 國立彰化師範大學 === 數學系所 === 101 === Let Sn be the position of a simple random walk (starting at 0) at time n, and let Ln = min 0in Si, Rn = max 0in Si. The range of the walk at time n is then the interval [Ln;Rn]. Dene N to be the stopping time when the range of the walk becomes a symmetric interval of the form [