In the small-diffusivity limit, the spectral gap of the symmetric inclusion process with any number of particles equals that of the two-particle process, while adding reservoirs restores the one-particle random walk identity.
Metastability , volume 351 of Grundlehren der mathematischen Wissenschaften
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One- and two-particle spectral gap identities for the symmetric inclusion process and related models
In the small-diffusivity limit, the spectral gap of the symmetric inclusion process with any number of particles equals that of the two-particle process, while adding reservoirs restores the one-particle random walk identity.