Stefano Galatolo (Dipartiento di matematica applicata, Universita di Pisa) |
Mathieu Hoyrup (LORIA, Vandoeuvre-l es-Nancy, France) |
Cristóbal Rojas (Fields Institute, Toronto, Canada) |

A pseudorandom point in an ergodic dynamical system over a computable metric space is a point which is computable but its dynamics has the same statistical behavior as a typical point of the system.
It was proved in [Avigad et al. 2010, Local stability of ergodic averages] that in a system whose dynamics is computable the ergodic averages of computable observables converge effectively. We give an alternative, simpler proof of this result. This implies that if also the invariant measure is computable then the pseudorandom points are a set which is dense (hence nonempty) on the support of the invariant measure. |

Published: 3rd June 2010.

ArXived at: http://dx.doi.org/10.4204/EPTCS.24.6 | bibtex | |

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