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A note on directed polymers in gaussian environments


 
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1. Title Title of document A note on directed polymers in gaussian environments
 
2. Creator Author's name, affiliation, country Yueyun Hu; Université Paris XIII
 
2. Creator Author's name, affiliation, country Qi-Man Shao; The Hong Kong University of Science and Technology
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Directed polymer, gaussian environment
 
3. Subject Subject classification 60K37
 
4. Description Abstract We study the problem of directed polymers in gaussian environments in $\mathbb{Z}^d$ from the viewpoint of a gaussian family indexed by the set of random walk paths. In the zero-temperature case, we give a numerical bound on the maximum of the Hamiltonian, whereas in the finite temperature case, we establish an equivalence between the "very strong disorder" and the growth rate of the entropy associated to the model
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-09-24
 
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/1509
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1509
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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