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- W163509697 abstract "We introduce a new characteristics of chaoticity of classical and quantum dynamical systems by defining the notion of the dissipation time which enables us to test how the system responds to the noise and in particular to measure the speed at which an initially closed, conservative system converges to the equilibrium when subjected to noisy (stochastic) perturbations. We prove fast dissipation result for classical Anosov systems and general exponentially mixing maps. Slow dissipation result is proved for regular systems including non-weakly mixing maps. In quantum setting we study simultaneous semiclassical and small noise asymptotics of the dissipation time of quantized toral symplectomorphisms (generalized cat maps) and derive sharp bounds for semiclassical regime in which quantum-classical correspondence of dissipation times holds." @default.
- W163509697 created "2016-06-24" @default.
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- W163509697 date "2004-06-26" @default.
- W163509697 modified "2023-09-27" @default.
- W163509697 title "Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems" @default.
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