Poincaré recurrence theorem

(redirected from Recurrence time)

Poincaré recurrence theorem

[‚pwän‚kä′rā ri′kə·rəns ‚thir·əm]
(mathematics)
A volume preserving homeomorphism T of a finite dimensional Euclidean space will have, for almost all points x, infinitely many points of the form T i (x), i = 1, 2, … within any open set containing x.
A measure preserving transformation on a space with finite measure is recurrent.
References in periodicals archive ?
Many researchers prefer to use different tools in practical applications of seismicity analyses, such as physical models, scaling laws and several different seismic parameters such as seismic b-value, fractal dimension, precursory seismic quiescence, annual probability, recurrence time, moment and energy releases.
Jianbo and Jing [19] used the recurrence time based method for seizure detection.
Also, the period R is defined as the recurrence time of the torus automorphism.
All of the intravesical recurrence occurred within 18 months after surgery and the mean recurrence time was 8.
Of the patients who had recurrence, the median recurrence time was around 4 months (mean 7+-8 months).
Amiodarone (200mg/day) or sotalol (160 mg/day) were prescribed to all patients until to the 1st AF recurrence time (in AF recurrent group) or during the whole study period (in sinus rhythm group).
In addition to its long recurrence time, the segment is unusual in that it is longer than the rupture lengths of other earthquakes in the region.
68% of the cases with a mean recurrence time of 21.
1] In one study comparing ileal conduits to neobladders, average recurrence time was 2 years and no significant difference was found between the 2 groups.
with energy magnitudes in excess of 9 [and] with recurrence times of greater than 400 years cannot be ruled out.