Spectral curve duality beyond the two-matrix model
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DOI: 10.1063/1.5094044
Abstract: We describe a simple algebraic approach to several spectral duality results for integrable systems and illustrate the method for two types of examples: The Bertola-Eynard-Harnad spectral duality of the two-matrix model as well as the… read more here.
Keywords: duality; matrix model; duality beyond; curve duality ... See more keywords
A Two-by-Two matrix representation of a generalized Fibonacci sequence
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DOI: 10.15672/hjms.2017.477
Abstract: The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced and defined by $ H_{k,n+1}=2H_{k,n}+kH_{k,n-1},~n\geq1,~H_{k,0}=2,~H_{k,1}=1$… read more here.
Keywords: matrix representation; fibonacci sequence; generalized fibonacci; two two ... See more keywords