Occupation laws for some time-nonhomogeneous Markov chains.
On diffusivity of a tagged particle in asymmetric zero-range dynamics
On extremal measures for conservative particle systems
Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes
Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara–Landim–Sethuraman ( (2009) 565–590), processes with at least linear rates are considered. A different approach to establish a main “local replacement” limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations...
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