5 papers
Smooth Models of Fibered Partially Hyperbolic Systems
Jonathan DeWitt, Meg Doucette, Oliver Wang
We study fibered partially hyperbolic diffeomorphisms. We show that as long as certain topological obstructions vanish and as long as homological minimum expansion dominates the di…
On equivalence of quenched and annealed statistical properties for conservative IID random dynamical systems
Jonathan DeWitt, Dmitry Dolgopyat
In this paper, we prove several theorems relating annealed exponential mixing of the two-point motion with quenched properties of the one-point motion for conservative IID random d…
Effective Gaps between singular values of non-stationary matrix products subject to non-degenerate noise
Sam Bednarski, Jonathan DeWitt, Anthony Quas
We study the singular values and Lyapunov exponents of non-stationary random matrix products subject to small, absolutely continuous, additive noise. Consider a fixed sequence of m…
Conservative Coexpanding on Average Diffeomorphisms
Jonathan DeWitt, Dmitry Dolgopyat
We show that the generator of a conservative IID random system whose dynamics expands on average codimension planes has an essential spectral radius strictly smaller than o…
Expanding on average diffeomorphisms of surfaces: exponential mixing
Jonathan DeWitt, Dmitry Dolgopyat
We show that the Bernoulli random dynamical system associated to a expanding on average tuple of volume preserving diffeomorphisms of a closed surface is exponentially mixing.