Berkowitz et al. 2006 argue that in fact an epistemic conception of randomness as unpredictability is the only way to understand the ergodic hierarchy of ergodicity, mixing, and Bernoulli properties of systems. |
Here, there are various results demonstrating that strongly ergodic classical billiards, when quantized, exhibit quantum ergodicity. |
It is assumed that all random parameters are statistically stationary and obey the ergodicity principle. |
As NAGYLAKI 1998 notes, ergodicity in itself probably does not rule out very many plausible biological scenarios. |
Armed with this understanding of the definition of ergodicity, we can now discuss some important properties of ergodic systems. |
The ergodicity assumption is contrary to the actual way that shocks are generated. |