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Open Access Publications from the University of California

Minimum memory for generating rare events

  • Author(s): Aghamohammadi, C
  • Crutchfield, JP
  • et al.

© 2017 American Physical Society. We classify the rare events of structured, memoryful stochastic processes and use this to analyze sequential and parallel generators for these events. Given a stochastic process, we introduce a method to construct a process whose typical realizations are a given process' rare events. This leads to an expression for the minimum memory required to generate rare events. We then show that the recently discovered classical-quantum ambiguity of simplicity also occurs when comparing the structure of process fluctuations.

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