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Interpolation Percolation


 
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1. Title Title of document Interpolation Percolation
 
2. Creator Author's name, affiliation, country Martin P.W. Zerner; University of Tuebingen; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Interpolation, path connected, percolation, stationary random set.
 
3. Subject Subject classification Primary: 60D05, 60K35. Secondary: 54D05.
 
4. Description Abstract Let $X$ be a countably infinite set of real numbers and let $(Y_x)_{x\in X}$ be an independent family of stationary random subsets of the real numbers, e.g. homogeneous Poisson point processes. We give criteria for the almost sure existence of various "regular" functions f with the property that $f(x)\in Y_x$ for all $x\in X$. Several open questions are posed.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) German-Israeli Foundation
 
7. Date (YYYY-MM-DD) 2011-05-23
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/895
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-895
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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