A. Blumenthal

activity

20172022

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

47 citations · 60 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

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.AP2018

Lagrangian chaos and scalar advection in stochastic fluid mechanics

Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith

We study the Lagrangian flow associated to velocity fields arising from various models of fluid mechanics subject to white-in-time, $H^{s}$ -in-space stochastic forcing in a periodic…

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 $…