2 papers
physics.soc-ph2023
Beyond Binary: Hypermatrix Algebra and Irreducible Arity in Higher-Order Systems
Carlos Zapata-Carratalá, Maximilian Schich, Taliesin Beynon +1
Theoretical and computational frameworks of modern science are dominated by binary structures. This binary bias, seen in the ubiquity of pair-wise networks and formal operations of…
math.RA2022
Heaps of Fish: arrays, generalized associativity and heapoids
Carlos Zapata-Carratala, Xerxes D. Arsiwalla, Taliesin Beynon
In this paper we investigate a ternary generalization of associativity by defining a diagrammatic calculus of hypergraphs that extends the usual notions of tensor networks, categor…