66 citations · 664 across the 84 of their papers we have counts for
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An Inhomogeneous Multispecies TASEP on a Ring
Arvind Ayyer, Svante Linusson
We reinterpret and generalize conjectures of Lam and Williams as statements about the stationary distribution of a multispecies exclusion process on the ring. The central objects i…
Combinatorial Markov chains on linear extensions
Arvind Ayyer, Steven Klee, Anne Schilling
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extensions of a finite poset of size n. This gives rise to a strongly connected graph on…
New enumeration formulas for alternating sign matrices and square ice partition functions
Arvind Ayyer, Dan Romik
The refined enumeration of alternating sign matrices (ASMs) of given order having prescribed behavior near one or more of their boundary edges has been the subject of extensive stu…
Generalized matrix Ansatz in the multispecies exclusion process - partially asymmetric case
Chikashi Arita, Arvind Ayyer, Kirone Mallick +1
We investigate one of the simplest multispecies generalization of the asymmetric simple exclusion process on a ring. This process has a rich combinatorial spectral structure and a…