{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T08:50:57Z","timestamp":1771059057469,"version":"3.50.1"},"reference-count":15,"publisher":"Institute of Mathematical Statistics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Inst. H. Poincar\u00e9 Probab. Statist."],"published-print":{"date-parts":[[2013,5,1]]},"DOI":"10.1214\/11-aihp445","type":"journal-article","created":{"date-parts":[[2013,4,16]],"date-time":"2013-04-16T13:12:35Z","timestamp":1366117955000},"source":"Crossref","is-referenced-by-count":30,"title":["Hydrodynamical behavior of symmetric exclusion with slow bonds"],"prefix":"10.1214","volume":"49","author":[{"given":"Tertuliano","family":"Franco","sequence":"first","affiliation":[]},{"given":"Patr\u00edcia","family":"Gon\u00e7alves","sequence":"additional","affiliation":[]},{"given":"Adriana","family":"Neumann","sequence":"additional","affiliation":[]}],"member":"108","reference":[{"key":"6","unstructured":"[6] T. Franco, A. Neumann and C. Landim. Large deviations for the one-dimensional exclusion process with a slow bond. Unpublished manuscript, 2010."},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] C. Kipnis and C. Landim. <i>Scaling Limits of Interacting Particle Systems. Grundlehren der Mathematischen Wissenschaften<\/i> [<i>Fundamental Principles of Mathematical Sciences<\/i>] <b>320<\/b>. Springer, Berlin, 1999.","DOI":"10.1007\/978-3-662-03752-2"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] F. Valentim. Hydrodynamic limit of gradient exclusion processes with conductances. <i>Ann. Inst. Henri Poincar\u00e9 Probab. Stat.<\/i> To appear.","DOI":"10.1214\/10-AIHP397"},{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] T. Bodineau, B. Derrida and J. L. Lebowitz. A diffusive system driven by a battery or by a smoothly varying field. <i>J. Stat. Phys.<\/i> <b>140<\/b> (2010) 648\u2013675.","DOI":"10.1007\/s10955-010-0012-y"},{"key":"2","unstructured":"[2] L. Evans. <i>Partial Differential Equations. Graduate Studies in Mathematics<\/i> <b>19<\/b>. American Mathematical Society, Providence, RI, 1998."},{"key":"3","unstructured":"[3] A. Faggionato. Bulk diffusion of 1D exclusion process with bond disorder. <i>Markov Process. Related Fields<\/i> <b>13<\/b> (2007) 519\u2013542."},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] A. Faggionato, M. Jara and C. Landim. Hydrodynamic behavior of one dimensional subdiffusive exclusion processes with random conductances. <i>Probab. Theory Related Fields<\/i> <b>144<\/b> (2009) 633\u2013667.","DOI":"10.1007\/s00440-008-0157-7"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] T. Franco and C. Landim. Hydrodynamic limit of gradient exclusion processes with conductances. <i>Arch. Ration. Mech. Anal.<\/i> <b>195<\/b> (2010) 409\u2013439.","DOI":"10.1007\/s00205-008-0206-5"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] T. Franco, A. Neumann and G. Valle. Hydrodynamic limit for a type of exclusion processes with slow bonds in dimension $\\geq2$. <i>J. Appl. Probab.<\/i> <b>48<\/b> (2011) 333\u2013351.","DOI":"10.1239\/jap\/1308662631"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] P. Gon\u00e7alves, C. Landim and C. Toninelli. Hydrodynamic limit for a particle system with degenerate rates. <i>Ann. Inst. Henri Poincar\u00e9 Probab. Stat.<\/i> <b>45<\/b> (2009) 887\u2013909.","DOI":"10.1214\/09-AIHP210"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] M. Jara. Hydrodynamic limit of particle systems in inhomogeneous media. In <i>Dynamics, Games and Science<\/i> <b>II<\/b>. M. Peixoto, A. Pinto and D. Rand (Eds). Springer, Berlin, 2011.","DOI":"10.1007\/978-3-642-14788-3_33"},{"key":"11","doi-asserted-by":"crossref","unstructured":"[11] O. A. Ladyzhenskaya. <i>The Boundary Value Problems of Mathematical Physic. Applied Math. Sci.<\/i> <b>49<\/b>. Springer, New York, 1985.","DOI":"10.1007\/978-1-4757-4317-3"},{"key":"12","doi-asserted-by":"crossref","unstructured":"[12] G. Leoni. <i>A First Course in Sobolev Spaces. Graduate Studies in Mathematics<\/i> <b>105<\/b>. American Mathematical Society, Providence, RI, 2009.","DOI":"10.1090\/gsm\/105"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] T. Sepp\u00e4l\u00e4inen. Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond. <i>J. Stat. Phys.<\/i> <b>102<\/b> (2001) 69\u201396.","DOI":"10.1023\/A:1026508625058"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[14] C. Stone. Limit theorems for random walks, birth and death processes, and diffusion processes. <i>Ill. J. Math.<\/i> <b>7<\/b> (1963) 638\u2013660.","DOI":"10.1215\/ijm\/1255645101"}],"container-title":["Annales de l'Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques"],"original-title":[],"link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdfview_1\/euclid.aihp\/1366117652","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T12:56:00Z","timestamp":1620305760000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/annales-de-linstitut-henri-poincare-probabilites-et-statistiques\/volume-49\/issue-2\/Hydrodynamical-behavior-of-symmetric-exclusion-with-slow-bonds\/10.1214\/11-AIHP445.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,5,1]]},"references-count":15,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2013,5,1]]}},"URL":"https:\/\/doi.org\/10.1214\/11-aihp445","relation":{},"ISSN":["0246-0203"],"issn-type":[{"value":"0246-0203","type":"print"}],"subject":[],"published":{"date-parts":[[2013,5,1]]}}}