Coupling independent walkers and the inclusion process
classification
🧮 math.PR
keywords
couplingequilibriuminclusionindependentlocalprocesswalkersboundary
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We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non-equilibrium steady state in the boundary driven SIP. The main tool is self-duality and a coupling between $n$ SIP particles and $n$ independent random walkers.
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