16 citations · 69 across the 23 of their papers we have counts for
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math.DS2021★ 1 cited
Discrete Dynamical Systems From Real Valued Mutation
John Machacek, Nicholas Ovenhouse
We introduce a family of discrete dynamical systems which includes, and generalizes, the mutation dynamics of rank two cluster algebras. These systems exhibit behavior associated w…
math.CO2021
Lattice walks ending on a coordinate hyperplane avoiding backtracking and repeats
John Machacek
We work with lattice walks in using step set that finish with . We further impose conditions of avoiding backtracking (i.e. $[v,-v…
math.CO2021★ 2 cited
Shelling the m=1 amplituhedron
Steven N. Karp, John Machacek
The amplituhedron was introduced by Arkani-Hamed and Trnka (2014) in order to give a geometric basis for calculating scattering amplitudes in planar $\mathcal…