47 citations · 54 across the 3 of their papers we have counts for
3 papers
math.AP2019★ 7 cited
Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith
We deduce almost-sure exponentially fast mixing of passive scalars advected by solutions of the stochastically-forced 2D Navier-Stokes equations and 3D hyper-viscous Navier-Stokes…
math.DS2017
Statistical properties for compositions of standard maps with increasing coefficent
Alex Blumenthal
The Chirikov standard map family is a one-parameter family of volume-preserving maps exhibiting hyperbolicity on a `large' but noninvariant subset of phase space. Based on this pre…
math.DS2017★ 47 cited
Lyapunov exponents for random perturbations of some area-preserving maps including the standard map
Alex Blumenthal, Jinxin Xue, Lai-Sang Young
We consider a large class of 2D area-preserving diffeomorphisms that are not uniformly hyperbolic but have strong hyperbolicity properties on large regions of their phase spaces. A…