For K-symmetric exclusion from a step profile, the rescaled point process of extreme particles converges to a Poisson random measure with intensity proportional to e^{-x} dx.
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Point process convergence of extremes in $K$-symmetric exclusion
For K-symmetric exclusion from a step profile, the rescaled point process of extreme particles converges to a Poisson random measure with intensity proportional to e^{-x} dx.