Simple Affine Extractors Using Dimension Expansion

2010 ◽  
Author(s):  
Matt DeVos ◽  
Ariel Gabizon
Keyword(s):  
Dimension Expansion

KOLMOGOROV CONSTANT IN LARGE SPACE DIMENSIONS

2002 ◽  
Vol 16 (32) ◽  
pp. 4839-4845 ◽  
Author(s):  
MALAY K. NANDY
Keyword(s):  
Eddy Viscosity ◽  
Energy Equation ◽  
Space Dimension ◽  
Direct Interaction ◽  
Large Space ◽  
Distant Interaction ◽  
Direct Interaction Approximation ◽  
Dimension Expansion ◽  
Kolmogorov Constant ◽  
Interaction Approximation

A large d (space dimension) expansion together with the ∊-expansion is implemented to calculate the Kolmogorov constant from the energy equation of Kraichnan's direct-interaction approximation using the Heisenberg's eddy-viscosity approximation and Kraichnan's distant-interaction algorithm. The Kolmogorov constant C is found to be C = C0 d1/3 in the leading order of a 1/d expansion. This is consistent with Fournier, Frisch, and Rose. The constant C0 evaluated in the above scheme, is found to be C0 = (16/27)1/3.

scholarly journals Modeling Nonstationary Processes Through Dimension Expansion

2012 ◽  
Vol 107 (497) ◽  
pp. 281-289 ◽  
Author(s):  
Luke Bornn ◽  
Gavin Shaddick ◽  
James V. Zidek
Keyword(s):  
Nonstationary Processes ◽  
Dimension Expansion

Erratum: Nonrelativistic potential scattering through the shifted large-dimension expansion

1986 ◽  
Vol 33 (8) ◽  
pp. 2500-2500
Author(s):  
Ram Swarup Gangyopadhyay ◽  
Ranabir Dutt ◽  
Y. P. Varshni
Keyword(s):  
Potential Scattering ◽  
Large Dimension ◽  
Dimension Expansion
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