Explicit necessary and sufficient conditions are derived for finite groups of order 2n in quarter-plane random walks and for n-periodic Darboux transformations of 4-bar links, for every n greater than or equal to 2.
Gen 37 (2004), 2721–2730
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Finite Groups of Random Walks in the Quarter Plane and Periodic $4$-bar Links
Explicit necessary and sufficient conditions are derived for finite groups of order 2n in quarter-plane random walks and for n-periodic Darboux transformations of 4-bar links, for every n greater than or equal to 2.