2 citations · 4 across the 3 of their papers we have counts for
4 papers
Rare Events Analysis and Computation for Stochastic Evolution of Bacterial Populations
Yingxue Su, Brett Geiger, Ilya Timofeyev +2
In this paper, we develop a computational approach for computing most likely trajectories describing rare events that correspond to the emergence of non-dominant genotypes. This wo…
Large Deviations Analysis for Stochastic Models of Bacterial Evolution
Robert Azencott, Brett Geiger, Ilya Timofeyev
Radical shifts in the genetic composition of large cell populations are rare events with quite low probabilities that direct numerical simulations generally fail to evaluate accura…
Nonstationary open dynamical systems
Brett Geiger, William Ott
This paper studies nonstationary open dynamical systems from the statistical viewpoint. By open, we mean that trajectories may escape through holes in the phase space. By nonstatio…
Large deviations for Gaussian diffusions with delay
Robert Azencott, Brett Geiger, William Ott
Dynamical systems driven by nonlinear delay SDEs with small noise can exhibit important rare events on long timescales. When there is no delay, classical large deviations theory qu…