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On maximizing the speed of a random walk in fixed environments


 
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1. Title Title of document On maximizing the speed of a random walk in fixed environments
 
2. Creator Author's name, affiliation, country Amichai Lampert; NA; Israel
 
2. Creator Author's name, affiliation, country Assaf Shapira; Technion – Israel Institute of Technology; Israel
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Walk; Speed; Environment
 
3. Subject Subject classification 60G50
 
4. Description Abstract We consider a random walk in a fixed $\mathbb{Z}$ environment composed of two point types: $q$-drifts (in which the probabiliy to move to the right is $q$, and $1-q$ to the left) and $p$-drifts, where $\frac{1}{2}<q<p$. We study the expected hitting time of a random walk at $N$ given the number of $p$-drifts in the interval $[1,N-1]$, and find that this time is minimized asymptotically by equally spaced $p$-drifts.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Weizmann Institute of Science
 
7. Date (YYYY-MM-DD) 2013-05-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2431
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2431
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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