53 citations · 149 across the 8 of their papers we have counts for
8 papers
Convergence of Rain Process Models to Point Processes
Scott Hottovy, Samuel N. Stechmann
A moisture process with dynamics that switch after hitting a threshold gives rise to a rainfall process. This rainfall process is characterized by its random holding times for dry…
Monte Carlo Tree Search for a single target search game on a 2-D lattice
Elana Kozak, Scott Hottovy
Monte Carlo Tree Search (MCTS) is a branch of stochastic modeling that utilizes decision trees for optimization, mostly applied to artificial intelligence (AI) game players. This p…
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…
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…
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…
Dynamical Effects of Multiplicative Feedback on a Noisy System
Giuseppe Pesce, Austin McDaniel, Scott Hottovy +2
Intrinsically noisy mechanisms drive most physical, biological and economic phenomena, from stock pricing to phenotypic variability. Frequently, the system's state influences the d…
Thermophoresis of Brownian particles driven by coloured noise
Scott Hottovy, Giovanni Volpe, Jan Wehr
The Brownian motion of microscopic particles is driven by the collisions with the molecules of the surrounding fluid. The noise associated with these collisions is not white, but c…
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…