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math.DS2023
Dynamical properties of coarse-grained linear SDEs
Thomas Hudson, Xingjie Helen Li
Coarse-graining or model reduction is a term describing a range of approaches used to extend the time-scale of molecular simulations by reducing the number of degrees of freedom. I…
math.DS2017
Properties of screw dislocation dynamics: time estimates on boundary and interior collisions
Thomas Hudson, Marco Morandotti
In this paper, the dynamics of a system of a finite number of screw dislocations is studied. Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is de…