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On the Non-Convexity of the Time Constant in First-Passage Percolation


 
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1. Title Title of document On the Non-Convexity of the Time Constant in First-Passage Percolation
 
2. Creator Author's name, affiliation, country Harry Kesten; Cornell University
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) First-passage percolation, time constant, convexity.
 
3. Subject Subject classification 60K35
 
4. Description Abstract We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. The present counterexample only works for first-passage percolation on $Z^d$ for $d$ large.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1996-01-25
 
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/971
 
10. Identifier Digital Object Identifier 10.1214/ECP.v1-971
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 1
 
12. Language English=en en
 
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