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Mathematics > Probability

arXiv:1411.4305 (math)
[Submitted on 16 Nov 2014 (v1), last revised 16 Dec 2015 (this version, v2)]

Title:Supercritical behavior of asymmetric zero-range process with sitewise disorder

Authors:C. Bahadoran, T. Mountford, K. Ravishankar, E. Saada
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Abstract:We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump rates. The class of environments considered is close to that considered by Andjel, Ferrari, Guiol and Landim, while our class of processes is broader. We also give a simpler proof of a result of Ferrari and Sisko with weaker assumptions.
Comments: 57 pages
Subjects: Probability (math.PR)
MSC classes: 60K35, 60K37
Cite as: arXiv:1411.4305 [math.PR]
  (or arXiv:1411.4305v2 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1411.4305

Submission history

From: Krishnamurthi Ravishankar [view email]
[v1] Sun, 16 Nov 2014 21:28:08 UTC (35 KB)
[v2] Wed, 16 Dec 2015 03:26:06 UTC (41 KB)
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