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The local $h$-vector of the cluster subdivision of a simplex
Local h-vector barycentric subdivision cluster complex cluster subdivision
2012/4/18
The cluster complex $\Delta (\Phi)$ is an abstract simplicial complex, introduced by Fomin and Zelevinsky for a finite root system $\Phi$. The positive part of $\Delta (\Phi)$ naturally defines a simp...
Local-to-global principles for rotor walk
cycle popping hitting sequence monoid action rotorrouter model sandpile group sandpile monoid
2011/9/19
Abstract: In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated ...