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- W2949095428 abstract "This note collects several general results about linear recurrences (also called linear difference equations) in unknowns indexed by the integers. We characterize a unique emph{reduced} system equivalent to a given linear recurrence, and construct a emph{solution matrix} which parametrizes the space of solutions to the original system. Several properties of solution matrices are shown, including a combinatorial characterization of bases and dimension of the space of solutions in terms of emph{juggling patterns}." @default.
- W2949095428 created "2019-06-27" @default.
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- W2949095428 date "2019-06-10" @default.
- W2949095428 modified "2023-09-27" @default.
- W2949095428 title "Linear recurrences indexed by $mathbb{Z}$" @default.
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