In this paper, new recurrence relations satisfied by the single and product moments using moment generating function of dual generalized order statistics from inverse exponential-type distribution are established. Recurrence relations for single and product moments of reversed order statistics and lower record value are obtained as special cases. Further, using a recurrence relation for single ...

Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point x in a decreasing sequence of neighborhoods of another point y. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at y, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.

We investigate the statistics of recurrences to finite size intervals for chaotic dynamical systems. We find that the typical distribution presents an exponential decay for almost all recurrence times except for a few short times affected by a kind of memory effect. We interpret this effect as being related to the unstable periodic orbits inside the interval. Although it is restricted to a few ...

Environmental systems and time series emanating from such systems present a particular interest. System state transitions can occur in time and/or in space and the detection of such transitions can be particularly useful in the design related to such systems. Since the majority of physical systems present non linear behavior the use of appropriate tools is necessary. Recurrence Plots (RPs) and ...

It is shown by explicit construction of new metrics, that General Relativity can solve the exact Poincáre recurrence problem. In these solutions, the light cone, flips periodically between past and future, due to a periodically alternating arrow of the proper time. The geodesics in these universes show periodic Loschmidt’s velocity reversion v → −v, at critical points, which leads to recurrence...

Ventricular tachycardia or fibrillation (VT) as fatal cardiac arrhythmias are the main factors triggering sudden cardiac death. The objective of this recurrence quantification analysis approach is to find early signs of sustained VT in patients with an implanted cardioverter-defibrillator (ICD). These devices are able to safeguard patients by returning their hearts to a normal rhythm via strong...

aim :  this study aimed to compare the recurrence rate, mortality, and morbidity of curative resection of distal adenocarcinoma of the stomach between total gastrectomy (tg) and subtotal gastrectomy (stg). background : the choice between tg and stg for adenocarcinoma of the lower third of the stomach is still a matter of debate and controversy among surgeons. patients and methods : hospital rec...

background: most patients with superficial bladder cancer whoundergo transurethral resection of bladder tumor show recurrenceof the disease. so far, there have been numerous studies on waysto decrease bladder cancer recurrence, including the intake ofvitamins and antioxidants. the goal of this study was to investigatethe effect of vitamin e on the recurrence of non‑invasive bladdercancer.method...

Abstmct--We consider the convergence properties of certain algorithms arising in storhastie, discrete-time, adaptive estimation problems and operating in random environments of engineering d@hnce. We demonstrate that the algorithms operating mder ideal conditions are d e s d i l e by homogeneous time-varying linear difference equations with dependent random coefficients, while in praclical use,...

We develop a technique to compute asymptotic expansions for recurrent sequences of the form an+1 = f(an), where f(x) = x − axα + bxβ + o(xβ) as x → 0, for some real numbers α, β, a, and b satisfying a > 0, 1 < α < β. We prove a result which summarizes the present stage of our investigation, generalizing the expansions in [Amer. Math Monthly, Problem E 3034[1984, 58], Solution [1986, 739]]. One ...