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

   
@article{EJP728,
	author = {Christophe Bahadoran and Hervé Guiol and Krishnamurthi Ravishankar and Ellen Saada},
	title = {Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Strong (a.s.) hydrodynamics; attractive particle system; graphical construction; non-explicit invariant measures; non-convex or non-concave flux; entropy solution; Glimm scheme},
	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.},
	pages = {no. 1, 1-43},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-728},    
        url = {http://ejp.ejpecp.org/article/view/728}}