A birational lifting of the Stanley-Thomas word on products of two chains

29 Jun 2020 Joseph Michael Roby Tom

The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants. One key property enjoyed by the rowmotion operator on certain finite partially-ordered sets is homomesy, where the average value of a statistic is the same for all orbits... (read more)

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