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math.AP2025
Anomalous diffusion via iterative quantitative homogenization: an overview of the main ideas
Scott Armstrong, Vlad Vicol
Anomalous diffusion is the fundamental ansatz of phenomenological theories of passive scalar turbulence, and has been confirmed numerically and experimentally to an extraordinary e…
math.AP2019
Thermal approximation of the equilibrium measure and obstacle problem
Scott Armstrong, Sylvia Serfaty
We consider the probability measure minimizing a free energy functional equal to the sum of a Coulomb interaction, a confinement potential and an entropy term, which arises in the…