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math.PR2025
Continuously Parametrised Porous Media Model and Scaling Limits of Kinetically Constrained Models
G. S. Nahum
We investigate the emergence of non-linear diffusivity in kinetically constrained, one-dimensional symmetric exclusion processes satisfying the gradient condition. Recent developme…
math.PR2024
Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier
Pedro Cardoso, Patrícia Gonçalves, Gabriel Nahum
In this article we derive in the hydrodynamic limit a generalized fractional porous medium equation, in the sense that the regional fractional Laplacian is applied to a function of…
math.PR2023★ 1 cited
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…