413 citations · 2k across the 45 of their papers we have counts for
Showing 2018 · math.DSShow all
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math.DS2018★ 6 cited
Cutting and shuffling a hemisphere: non-orthogonal axes
Thomas F. Lynn, Lachlan D. Smith, Julio M. Ottino +2
We examine the dynamics of cutting-and-shuffling a hemispherical shell driven by alternate rotation about two horizontal axes using the framework of piecewise isometry (PWI) theory…
math.DS2018
Optimized mixing by cutting-and-shuffling
Lachlan D. Smith, Paul B. Umbanhowar, Julio M. Ottino +1
Mixing by cutting-and-shuffling can be understood and predicted using dynamical systems based tools and techniques. In existing studies, mixing is generated by maps that repeat the…