45 citations · 116 across the 16 of their papers we have counts for
3 papers · 1 filter
Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
We develop a general framework for establishing non-uniqueness of stationary measures for stochastically forced dynamical systems possessing an almost surely invariant submanifold.…
On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations
Alex Blumenthal, Sam Punshon-Smith
We consider the top Lyapunov exponent associated to a dissipative linear evolution equation posed on a separable Hilbert or Banach space. In many applications in partial differenti…
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
We put forward a new method for obtaining quantitative lower bounds on the top Lyapunov exponent of stochastic differential equations (SDEs). Our method combines (i) an (apparently…