Central limit theorem and chaoticity
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 137-142 |
| Journal / Publication | Statistics and Probability Letters |
| Volume | 92 |
| Publication status | Published - Sept 2014 |
Link(s)
Abstract
This paper studies the relations between stochastic properties and chaotic properties of a dynamical system satisfying the central limit theorem. For such a system, it is proved that every nonempty open set in its defining space contains a point with positive lower density of its return time set and that the system is syndetically sensitive, provided that it is strongly topologically ergodic. Moreover, it is shown that the system admits many chaotic properties if its domain is restricted to a tree. © 2014 Elsevier B.V.
Research Area(s)
- Strongly topologically ergodic, Syndetic sensitivity, Syndetically ergodic, The central limit theorem, Urysohn's Lemma
Citation Format(s)
Central limit theorem and chaoticity. / Wu, Xinxing; Chen, Guanrong.
In: Statistics and Probability Letters, Vol. 92, 09.2014, p. 137-142.
In: Statistics and Probability Letters, Vol. 92, 09.2014, p. 137-142.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
