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math.PR2026
Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions
Seonwoo Kim, Claudio Landim
We investigate the saturation regime of the condensing symmetric inclusion process on the discrete one-dimensional torus in the thermodynamical limit. In this regime, the total mas…
math.PR2026
Critical stationary fluctuations in reaction--diffusion processes
Luis Cardoso, Claudio Landim, Kenkichi Tsunoda
We study stationary fluctuations at criticality for a one-dimensional reaction--diffusion process combining symmetric simple exclusion dynamics with Glauber-type spin flips. The st…
math.PR2026
Dimension-decaying diffusion processes as the scaling limit of condensing zero-range processes
Johel Beltrán, Kyuhyeon Choi, Claudio Landim
In this article, we prove that, on the diffusive time scale, condensing zero-range processes converge to a dimension-decaying diffusion process on the simplex \[ Σ= \{(x_1,\dots,x_…