Minimum memory for generating rare events.
- Author(s): Aghamohammadi, Cina
- Crutchfield, James P
- et al.
Published Web Locationhttps://doi.org/10.1103/physreve.95.032101
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.