53 citations · 149 across the 8 of their papers we have counts for
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math.PR2015★ 32 cited
The Small-Mass Limit for Langevin Dynamics with Unbounded Coefficients and positive friction
David P. Herzog, Scott Hottovy, Giovanni Volpe
A class of Langevin stochastic differential equations is shown to converge in the small-mass limit under very weak assumptions on the coefficients defining the equation. The conver…
math-ph2015★ 2 cited
A small delay and correlation time limit of stochastic differential delay equations with state-dependent colored noise
Scott Hottovy, Austin McDaniel, Jan Wehr
We consider a general stochastic differential delay equation (SDDE) with state-dependent colored noises and derive its limit as the time delays and the correlation times of the noi…