3 papers
math.AP2019
Homogenization of a stochastically forced Hamilton-Jacobi equation
Benjamin Seeger
We study the homogenization of a Hamilton-Jacobi equation forced by rapidly oscillating noise that is colored in space and white in time. It is shown that the homogenized equation…
math.AP2019
Scaling limits and homogenization of mixing Hamilton-Jacobi equations
Benjamin Seeger
We study the homogenization of nonlinear, first-order equations with highly oscillatory mixing spatio-temporal dependence. It is shown in a variety of settings that the homogenized…
math.DS2011
On the Size of the Resonant Set for the Products of 2x2 Matrices
Jeffrey Allen, Benjamin Seeger, Deborah Unger
For θ \in [0, 2π), consider the rotation matrix R? and h = (λ, 0; 0, 0), λ > 1. Let W_n(θ) denote the product of m R?'s and n h's with the condition m \leq [ε\astn], (0 < ε< 1). We…