التفاصيل البيبلوغرافية
| العنوان: |
Standard deviation of recurrence times for piecewise linear transformations. |
| المؤلفون: |
Ismael, Mimoon, Nillsen, Rodney, Williams, Graham |
| المصدر: |
Asian-European Journal of Mathematics; Mar2017, Vol. 10 Issue 1, p-1, 10p |
| مصطلحات موضوعية: |
MEDIAN (Mathematics), STANDARD deviations, ANALYSIS of variance, DISTRIBUTION (Probability theory), STATISTICS |
| مستخلص: |
This paper is concerned with dynamical systems of the form , where is a bounded interval and comes from a class of measure-preserving, piecewise linear transformations on . If is a Borel set and , the Poincaré recurrence time of relative to is defined to be the minimum of , if the minimum exists, and otherwise. The mean of the recurrence time is finite and is given by Kac's recurrence formula. In general, the standard deviation of the recurrence times need not be finite but, for the systems considered here, a bound for the standard deviation is derived. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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