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 | |
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 | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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