32 citations · 37 across the 4 of their papers we have counts for
4 papers
Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools
Tobias Grafke, Tobias Schaefer, Eric Vanden-Eijnden
Small random perturbations may have a dramatic impact on the long time evolution of dynamical systems, and large deviation theory is often the right theoretical framework to unders…
A state vector algebra for algorithmic implementation of second-order logic
Dmitry Lesnik, Tobias Schaefer
We present a mathematical framework for mapping second-order logic relations onto a simple state vector algebra. Using this algebra, basic theorems of set theory can be proven in a…
Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity
Eugene Dedits, Andrew C. Poje, Tobias Schaefer +1
We consider the two-dimensional advection-diffusion equation on a bounded domain subject to either Dirichlet or von Neumann boundary conditions and study both time-independent and…
Averaged dynamics of time-periodic advection diffusion equations in the limit of small diffusivity
Tobias Schaefer, Andrew C. Poje, Jesenko Vukadinovic
We study the effect of advection and small diffusion on passive tracers. The advecting velocity field is assumed to have mean zero and to possess time-periodic stream lines. Using…