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- W2092201744 abstract "The octahedron recurrence lives on a 3-dimensional lattice and is given by $$f(x,y,t+1)=(f(x+1,y,t)f(x-1,y,t)+f(x,y+1,t)f(x,y-1,t))/f(x,y,t-1)$$ . In this paper, we investigate a variant of this recurrence which lives in a lattice contained in $$[0,m] times [0,n] times mathbb R$$ . Following Speyer, we give an explicit non-recursive formula for the values of this recurrence and use it to prove that it is periodic of period n+m. We then proceed to show various other hidden symmetries satisfied by this bounded octahedron recurrence." @default.
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- W2092201744 date "2007-01-09" @default.
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- W2092201744 title "A periodicity theorem for the octahedron recurrence" @default.
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- W2092201744 doi "https://doi.org/10.1007/s10801-006-0045-0" @default.
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