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20142024
most citedLyapunov exponents for random perturbations of some area-preserving maps including the standard map

47 citations · 178 across the 21 of their papers we have counts for

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math.DS2020★ 4 cited

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…

math.DS2020★ 3 cited

Lyapunov exponents for random perturbations of coupled standard maps

Alex Blumenthal, Jinxin Xue, Yun Yang

In this paper, we give a quantitative estimate for the sum of the first Lyapunov exponents for random perturbations of a natural class -dimensional volume-preserving system…