The Markov Memory for Generating Rare Events

C. Aghamohammadi; J. P. Crutchfield

doi:10.1103/physreve.95.032101

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arXiv · 1610.07685

The Markov Memory for Generating Rare Events

C. Aghamohammadi·J. P. Crutchfield

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Abstract

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 new 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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cond-mat.stat-mech cs.CC cs.IT math.IT nlin.CD

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C. Aghamohammadi, J. P. Crutchfield. 2016-10-24. The Markov Memory for Generating Rare Events. https://doi.org/10.1103/physreve.95.032101

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