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- W1618593995 abstract "It is shown that a category‐theoretic definition of chaotic system applies not only to the Smale horseshoe, a prototypical example, but also to Conway’s “Life.” Symbolic dynamics of the “Dining Philosophers” relational system is computed. A category composed of stochastic matrices is defined and its elementary properties are studied. A categorical variant of symbolic dynamics is applied to a finite stochastic process. Using point‐wise Kan extension formulas, conditions ensuring existence of certain representations between categories of dynamic systems are proved." @default.
- W1618593995 created "2016-06-24" @default.
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- W1618593995 date "2004-01-01" @default.
- W1618593995 modified "2023-09-24" @default.
- W1618593995 title "Symbolic Dynamics and Unpredictability Defined by Right Adjointness" @default.
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- W1618593995 doi "https://doi.org/10.1063/1.1787331" @default.
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