208 citations · 302 across the 13 of their papers we have counts for
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math.DS2021
Superdensity and super-micro-uniformity in non-integrable flat systems
J. Beck, W. W. L. Chen
We show that on any non-integrable finite polysquare translation surface, superdensity, an optimal form of time-quantitative density, leads to an optimal form of time-quantitative…
math.DS2021
Uniformity in cube-covering systems
J. Beck, W. W. L. Chen
We establish various analogs of the Kronecker-Weyl equidistribution theorem that can be considered higher-dimensional versions of results established in our earlier investigation o…
math.DS2021
Time-quantitative density of non-integrable systems
J. Beck, W. W. L. Chen
We introduce a new method to establish time-quantitative density in flat dynamical systems. First we give a shorter and different proof of our earlier result that a half-infinite g…