A. Blumenthal

activity

20172024

most citedLyapunov exponents for random perturbations of some area-preserving maps including the standard map

47 citations · 60 across the 6 of their papers we have counts for

collaborators

Showing 2018 · math.DSShow all

2 papers · 2 filters

math.DS2018★ 6 cited

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…

math.DS2018

Diffusion limit for a slow-fast standard map

Alex Blumenthal, Jacopo De Simoi, Ke Zhang

Consider the map $(x, y) \mapsto (x + ε^{- α} sin (2 π x) + ε^{- 1 - α} z, z + ε sin (2 π x))$ , which is conjugate to the Chirikov standard map with a large parameter. The parameter value $…