Tracts and Asymptotic Values of Plane Subharmonic Functions

1989 ◽  
pp. 531-643
Keyword(s):  
Subharmonic Functions ◽  
Asymptotic Values

scholarly journals Asymptotic Values of Subharmonic Functions

1996 ◽  
Vol s3-73 (2) ◽  
pp. 404-430
Author(s):  
J. L. Fernández ◽  
J. Heinonen ◽  
J. G. Llorente
Keyword(s):  
Subharmonic Functions ◽  
Asymptotic Values

scholarly journals Time Evolution of Initial Errors in Lorenz’s 05 Chaotic Model

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Hynek Bednář ◽  
Aleš Raidl ◽  
Jiří Mikšovský
Keyword(s):  
Weather Prediction ◽  
Prediction Method ◽  
Atmospheric Model ◽  
Ensemble Prediction ◽  
Asymptotic Value ◽  
Time Limits ◽  
Initial Errors ◽  
Asymptotic Values ◽  
Chaotic Model ◽  
Almost All

Initial errors in weather prediction grow in time and, as they become larger, their growth slows down and then stops at an asymptotic value. Time of reaching this saturation point represents the limit of predictability. This paper studies the asymptotic values and time limits in a chaotic atmospheric model for five initial errors, using ensemble prediction method (model’s data) as well as error approximation by quadratic and logarithmic hypothesis and their modifications. We show that modified hypotheses approximate the model’s time limits better, but not without serious disadvantages. We demonstrate how hypotheses can be further improved to achieve better match of time limits with the model. We also show that quadratic hypothesis approximates the model’s asymptotic value best and that, after improvement, it also approximates the model’s time limits better for almost all initial errors and time lengths.

scholarly journals On the mean value property of superharmonic and subharmonic functions

2006 ◽  
Vol 2006 ◽  
pp. 1-3
Author(s):  
Robert Dalmasso
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Subharmonic Functions ◽  
Mean Value Property ◽  
The Mean

We prove a converse of the mean value property for superharmonic and subharmonic functions. The case of harmonic functions was treated by Epstein and Schiffer.

Universal (pluri)subharmonic functions

Analysis ◽  
2007 ◽  
Vol 27 (2-3) ◽  
Author(s):  
Paul M. Gauthier ◽  
Mohamad R. Pouryayevali
Keyword(s):  
Subharmonic Functions

In this note, we establish the existence of universal subharmonic functions on ℝ

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