Predictability of Time Averages: Part II: The Influence of the Boundary Forcings

Author(s):  
J. Shukla
Keyword(s):  
Nonlinearity ◽  
2017 ◽  
Vol 30 (5) ◽  
pp. 1876-1910 ◽  
Author(s):  
Isabel S Labouriau ◽  
Alexandre A P Rodrigues
Keyword(s):  

1996 ◽  
Vol 270 (4) ◽  
pp. R873-R887 ◽  
Author(s):  
D. S. Shannahoff-Khalsa ◽  
B. Kennedy ◽  
F. E. Yates ◽  
M. G. Ziegler

Autonomic, cardiovascular, and neuroendocrine activities were monitored for 5-6 h in 10 normal adult resting humans (8 males, 2 females). The nasal cycle, a measure of lateralized autonomic tone, was measured at 4 Hz. Impedance cardiography (BoMed NCCOM3) was used to measure cardiac output, thoracic fluid index, heart rate, ejection velocity index, stroke volume, and ventricular ejection time (averages of 12 heart beats). Systolic, diastolic, and mean arterial pressures were measured with an automated cuff at 7.5-min intervals. Separate blood samples were taken every 7.5 min simultaneously from both arms with the use of indwelling venous catheters. Assays for adrenocorticotropic hormone, luteinizing hormone, norepinephrine, epinephrine, and dopamine were performed on samples from each arm. Time-series analysis, using the fast orthogonal search method of Korenberg, was used to detect variance structure. Significant spectral periods were observed in five windows at 220-340, 170-215, 115-145, 70-100, and 40-65 min. The greatest spectral power was observed in the lower frequencies, but periods at 115-145, 70-100, and 40-65 min were common across variables. Significant correlation coefficients for linear regressions of all paired variables in each subject were observed in 38.87% of the comparisons (subject range, 18.05-48-9.70%) with r > 0.30. These results suggest that either a common oscillator (the hypothalamus) or mutually entrained oscillators regulate these systems.


2011 ◽  
Vol 15 (3) ◽  
pp. 1081-1093 ◽  
Author(s):  
F. Suárez ◽  
J. E. Aravena ◽  
M. B. Hausner ◽  
A. E. Childress ◽  
S. W. Tyler

Abstract. In shallow thermohaline-driven lakes it is important to measure temperature on fine spatial and temporal scales to detect stratification or different hydrodynamic regimes. Raman spectra distributed temperature sensing (DTS) is an approach available to provide high spatial and temporal temperature resolution. A vertical high-resolution DTS system was constructed to overcome the problems of typical methods used in the past, i.e., without disturbing the water column, and with resistance to corrosive environments. This paper describes a method to quantitatively assess accuracy, precision and other limitations of DTS systems to fully utilize the capacity of this technology, with a focus on vertical high-resolution to measure temperatures in shallow thermohaline environments. It also presents a new method to manually calibrate temperatures along the optical fiber achieving significant improved resolution. The vertical high-resolution DTS system is used to monitor the thermal behavior of a salt-gradient solar pond, which is an engineered shallow thermohaline system that allows collection and storage of solar energy for a long period of time. The vertical high-resolution DTS system monitors the temperature profile each 1.1 cm vertically and in time averages as small as 10 s. Temperature resolution as low as 0.035 °C is obtained when the data are collected at 5-min intervals.


2019 ◽  
Vol 248 (2) ◽  
pp. 191-215 ◽  
Author(s):  
Zemer Kosloff
Keyword(s):  

2020 ◽  
Author(s):  
Pooriya Beyhaghi ◽  
Shahrouz R. Alimo ◽  
Muhan Zhao ◽  
Thomas Bewley
Keyword(s):  

1993 ◽  
Vol 30 (01) ◽  
pp. 252-257
Author(s):  
Michael Scheutzow

It is known (Weizsäcker and Winkler (1990)) that for bounded predictable functions H and a Poisson process with jump times exists almost surely, and that in this case both limits are equal. Here we relax the boundedness condition on H. Our tool is a law of large numbers for local L 2-martingales. We show by examples that our condition is close to optimal. Furthermore we indicate a generalization to point processes on more general spaces. The above property is called PASTA (‘Poisson arrivals see time averages') and is heavily used in queueing theory.


2008 ◽  
Vol 45 (02) ◽  
pp. 568-574
Author(s):  
Erol A. Peköz ◽  
Sheldon M. Ross

We give a new method for simulating the time average steady-state distribution of a continuous-time queueing system, by extending a ‘read-once’ or ‘forward’ version of the coupling from the past (CFTP) algorithm developed for discrete-time Markov chains. We then use this to give a new proof of the ‘Poisson arrivals see time averages’ (PASTA) property, and a new proof for why renewal arrivals see either stochastically smaller or larger congestion than the time average if interarrival times are respectively new better than used in expectation (NBUE) or new worse than used in expectation (NWUE).


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