3 papers
math.PR2026
Hydrodynamic Limit with a Weierstrass-type result
Gabriel S. Nahum
We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle sy…
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.PR2025
A gradient model for the Bernstein polynomial basis
G. S. Nahum
We introduce a symmetric, gradient exclusion process within the class of non-cooperative kinetically constrained lattice gases, modelling a non-linear diffusivity in which the exch…