Central limit theorem and chaoticity
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||Statistics and Probability Letters|
|Publication status||Published - Sept 2014|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-84902333708&origin=recordpage|
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.
- Strongly topologically ergodic, Syndetic sensitivity, Syndetically ergodic, The central limit theorem, Urysohn's Lemma