36 citations · 202 across the 22 of their papers we have counts for
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math.RA2013★ 11 cited
Greedy bases in rank 2 generalized cluster algebras
Dylan Rupel
In this note we extend the notion of greedy bases developed by Lee, Li, and Zelevinsky to rank two generalized cluster algebras, i.e. binomial exchange relations are replaced by po…
math.QA2013★ 19 cited
Quantum cluster characters of Hall algebras
Arkady Berenstein, Dylan Rupel
The aim of the present paper is to introduce a generalized quantum cluster character, which assigns to each object V of a finitary Abelian category C over a finite field FF_q and a…
math.CT2013★ 23 cited
The operad of temporal wiring diagrams: formalizing a graphical language for discrete-time processes
Dylan Rupel, David I. Spivak
We investigate the hierarchical structure of processes using the mathematical theory of operads. Information or material enters a given process as a stream of inputs, and the proce…