Hyperbolic flows and the question of quantum chaos

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Abstract

Hyperbolic flows, as formulated by Anosov, are the prototypes of chaotic evolutions in classical dynamical systems. Here we provide a concise updated account of their quantum counterparts originally formulated by Emch, Narnhofer, Thirring and Sewell within the operator algebraic setting of quantum theory; and we discuss their bearing on the question of quantum chaos.

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Sewell, G. L. (2016). Hyperbolic flows and the question of quantum chaos. In Trends in Mathematics (Vol. 0, pp. 45–56). Springer International Publishing. https://doi.org/10.1007/978-3-319-31756-4_6

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