47 citations · 60 across the 5 of their papers we have counts for
4 papers · 1 filter
Equivalence of physical and SRB measures in random dynamical systems
Alex Blumenthal, Lai-Sang Young
We give a geometric proof, offering a new and quite different perspective on an earlier result of Ledrappier and Young on random transformations. We show that under mild conditions…
Diffusion limit for a slow-fast standard map
Alex Blumenthal, Jacopo De Simoi, Ke Zhang
Consider the map , which is conjugate to the Chirikov standard map with a large parameter. The parameter value $…
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…
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…