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Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$


 
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1. Title Title of document Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$
 
2. Creator Author's name, affiliation, country Christophe Bahadoran; Université Clermont 2; France
 
2. Creator Author's name, affiliation, country Hervé Guiol; Université Joseph Fourier; France
 
2. Creator Author's name, affiliation, country Krishnamurthi Ravishankar; College at New Paltz; United States
 
2. Creator Author's name, affiliation, country Ellen Saada; CNRS and Université de Rouen; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Strong (a.s.) hydrodynamics; attractive particle system; graphical construction; non-explicit invariant measures; non-convex or non-concave flux; entropy solution; Glimm scheme
 
3. Subject Subject classification 60K35; 82C22
 
4. Description Abstract We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on $\mathbb{Z}$ starting from an arbitrary initial profile. We generalize earlier works by Seppalainen (1999) and Andjel et al. (2004). Our constructive approach requires new ideas since the subadditive ergodic theorem (central to previous works) is no longer effective in our setting.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ANR BLAN07-2184264 grant, IXXI, NSF grant DMS 0104278
 
7. Date (YYYY-MM-DD) 2010-01-04
 
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/728
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-728
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
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