{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T05:09:54Z","timestamp":1773464994644,"version":"3.50.1"},"reference-count":10,"publisher":"Institute of Mathematical Statistics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Inst. H. Poincar\u00e9 Probab. Statist."],"published-print":{"date-parts":[[2009,11,1]]},"DOI":"10.1214\/09-aihp210","type":"journal-article","created":{"date-parts":[[2009,11,6]],"date-time":"2009-11-06T17:51:41Z","timestamp":1257529901000},"source":"Crossref","is-referenced-by-count":39,"title":["Hydrodynamic limit for a particle system with degenerate rates"],"prefix":"10.1214","volume":"45","author":[{"given":"P.","family":"Gon\u00e7alves","sequence":"first","affiliation":[]},{"given":"C.","family":"Landim","sequence":"additional","affiliation":[]},{"given":"C.","family":"Toninelli","sequence":"additional","affiliation":[]}],"member":"108","reference":[{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] C. Kipnis and C. Landim. <i>Scaling Limits of Interacting Particle Systems<\/i>. Springer, New York, 1999.","DOI":"10.1007\/978-3-662-03752-2"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] H. Spohn. <i>Large Scale Dynamics of Interacting Particles. Texts and Monographs in Physics<\/i>. Springer-Verlag, 1991.","DOI":"10.1007\/978-3-642-84371-6"},{"key":"9","doi-asserted-by":"crossref","unstructured":"[9] J. L. Vazquez. An introduction to the mathematical theory of the porous medium equation. In <i>Shape Optimization and Free Boundaries<\/i> 261\u2013286. M. C. Delfour and G. Sabidussi (Eds). Kluwer, Dordrecht, 1992.","DOI":"10.1007\/978-94-011-2710-3_10"},{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] L. Bertini and C. Toninelli. Exclusion processes with degenerate rates: Convergence to equilibrium and tagged particle. <i>J. Statist. Phys.<\/i> <b>117<\/b> (2004) 549\u2013580.","DOI":"10.1007\/s10955-004-3453-3"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] S. Feng, I. Iscoe and T. Sepp\u00e4l\u00e4inen. A microscopic mechanism for the porous medium equation. <i>Stochastic Process. Appl.<\/i> <b>66<\/b> (1997) 147\u2013182.","DOI":"10.1016\/S0304-4149(96)00121-4"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] M. Z. Guo, G. C. Papanicolau and S. R. S. Varadhan. Nonlinear diffusion limit for a system with nearest neighbor interactions. <i>Comm. Math. Phys.<\/i> <b>118<\/b> (1988) 31\u201359.","DOI":"10.1007\/BF01218476"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] J. Quastel. Diffusion of color in the simple exclusion process. <i>Comm. Pure Apl. Math.<\/i> <b>XLV<\/b> (1992) 623\u2013679.","DOI":"10.1002\/cpa.3160450602"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] F. Ritort and P. Sollich. Glassy dynamics of kinetically constrained models. <i>Adv. in Phys.<\/i> <b>52<\/b> (2003) 219\u2013342.","DOI":"10.1080\/0001873031000093582"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] C. Toninelli and G. Biroli. Jamming percolation and glassy dynamics. <i>J. Stat. Phys.<\/i> <b>126<\/b> (2007) 731\u2013763.","DOI":"10.1007\/s10955-006-9177-9"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] H.-T. Yau. Relative entropy and hydrodynamics of Ginzburg\u2013Landau models. <i>Lett. Math. Phys.<\/i> <b>22<\/b> (1991) 63\u201380.","DOI":"10.1007\/BF00400379"}],"container-title":["Annales de l'Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/download\/pdfview_1\/euclid.aihp\/1257529884","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T09:50:51Z","timestamp":1620294651000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/annales-de-linstitut-henri-poincare-probabilites-et-statistiques\/volume-45\/issue-4\/Hydrodynamic-limit-for-a-particle-system-with-degenerate-rates\/10.1214\/09-AIHP210.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11,1]]},"references-count":10,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2009,11,1]]}},"URL":"https:\/\/doi.org\/10.1214\/09-aihp210","relation":{},"ISSN":["0246-0203"],"issn-type":[{"value":"0246-0203","type":"print"}],"subject":[],"published":{"date-parts":[[2009,11,1]]}}}