53 citations · 149 across the 8 of their papers we have counts for
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Small Mass Limit of a Langevin Equation on a Manifold
Jeremiah Birrell, Scott Hottovy, Giovanni Volpe +1
We study damped geodesic motion of a particle of mass on a Riemannian manifold, in the presence of an external force and noise. Lifting the resulting stochastic differential eq…
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…
Noise-induced drift in stochastic differential equations with arbitrary friction and diffusion in the Smoluchowski-Kramers limit
Scott Hottovy, Giovanni Volpe, Jan Wehr
We consider the dynamics of systems with arbitrary friction and diffusion. These include, as a special case, systems for which friction and diffusion are connected by Einstein fluc…