5 citations · 5 across the 2 of their papers we have counts for
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math.CO2015
Noncrossing partitions, toggles, and homomesies
David Einstein, Miriam Farber, Emily Gunawan +4
We introduce natural involutions ("toggles") on the set of noncrossing partitions of size , along with certain composite operations obtained by composing thes…
math.CO2014★ 5 cited
Piecewise-linear and birational toggling
David Einstein, James Propp
We define piecewise-linear and birational analogues of the toggle-involutions on order ideals of posets studied by Striker and Williams and use them to define corresponding analogu…
math.CO2013
Combinatorial, piecewise-linear, and birational homomesy for products of two chains
David Einstein, James Propp
This article illustrates the dynamical concept of in three kinds of dynamical systems -- combinatorial, piecewise-linear, and birational -- and shows the relationship be…