scholarly journals BOTH THE ENTROPY CHANGE AND THE TEMPERATURE OF BLACK HOLES ARE THE COMPENSATE EFFECT UNDER THE TIME-SCALE TRANSFORMATION

1996 ◽  
Vol 45 (12) ◽  
pp. 2091
Author(s):  
ZHAO ZHENG ◽  
LI ZHONG-HENG
Keyword(s):  
Black Holes ◽  
Time Scale ◽  
Entropy Change ◽  
Scale Transformation

scholarly journals QUASINORMAL MODES AND LATE-TIME TAILS OF CANONICAL ACOUSTIC BLACK HOLES

2007 ◽  
Vol 16 (07) ◽  
pp. 1211-1218 ◽  
Author(s):  
PING XI ◽  
XIN-ZHOU LI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Wave Propagation ◽  
Angular Momentum ◽  
Numerical Method ◽  
Time Scale ◽  
Quasinormal Modes ◽  
Late Time ◽  
Classical Wave ◽  
Acoustic Black Holes

In this paper, we investigate the evolution of classical wave propagation in the canonical acoustic black hole by a numerical method and discuss the details of the tail phenomenon. The oscillating frequency and damping time scale both increase with the angular momentum l. For lower l, numerical results show the lowest WKB approximation gives the most reliable result. We also find that the time scale of the interim region from ringing to tail is not affected obviously by changing l.

A useful random time-scale transformation for the standard epidemic model

1980 ◽  
Vol 17 (2) ◽  
pp. 324-332 ◽  
Author(s):  
Ray Watson
Keyword(s):  
Size Distribution ◽  
Epidemic Model ◽  
Time Scale ◽  
Random Time ◽  
Scale Transformation ◽  
Threshold Parameter ◽  
Asymptotic Results ◽  
Simple Derivation ◽  
Major Outbreak

In this paper it is shown that a random time-scale transformation leads to a simple derivation of some asymptotic results describing the progress of a major outbreak in the standard epidemic model. These results find application in approximation of the size distribution and in estimation of the threshold parameter.

On the size distribution for some epidemic models

1980 ◽  
Vol 17 (4) ◽  
pp. 912-921 ◽  
Author(s):  
Ray Watson
Keyword(s):  
Size Distribution ◽  
Epidemic Model ◽  
Time Scale ◽  
Epidemic Models ◽  
Random Time ◽  
Scale Transformation ◽  
Asymptotic Approximations

We consider the standard epidemic model and several extensions of this model, including Downton's carrier-borne epidemic model. A random time-scale transformation is used to obtain equations for the size distribution and to derive asymptotic approximations for the size distribution for each of the models

A bivariate counting process

1993 ◽  
Vol 30 (2) ◽  
pp. 353-364 ◽  
Author(s):  
Ray Watson ◽  
Paul Yip
Keyword(s):  
Epidemic Model ◽  
Time Scale ◽  
Counting Process ◽  
Transition Probabilities ◽  
Random Time ◽  
Scale Transformation ◽  
Asymptotic Results ◽  
Martingale Methods ◽  
Conflict Model ◽  
Population Processes

We consider a bivariate Markov counting process with transition probabilities having a particular structure, which includes a number of useful population processes. Using a suitable random time-scale transformation, we derive some probability statements about the process and some asymptotic results. These asymptotic results are also derived using martingale methods. Further, it is shown that these methods and results can be used for inference on the rate parameters for the process. The general epidemic model and the square law conflict model are used as illustrative examples.

A Trajectory Design with Time Scale Transformation

2019 ◽  
Vol 2019.16 (0) ◽  
pp. C201
Author(s):  
Yuki Onishi ◽  
Tatsuya Ibuki ◽  
Mitsuji Sampei
Keyword(s):  
Time Scale ◽  
Scale Transformation ◽  
Trajectory Design
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