On Necessary and Sufficient Conditions for Convergence of Solutions to One-Dimensional Stochastic Diffusion Equations with a Nonregular Dependence of the Coefficients on a Parameter

1983 ◽  
Vol 27 (4) ◽  
pp. 856-862 ◽  
Author(s):  
G. L. Kulinich
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Diffusion Equations ◽  
Stochastic Diffusion ◽  
One Dimensional ◽  
Convergence Of Solutions ◽  
Sufficient Conditions For Convergence ◽  
Necessary And Sufficient ◽  
Stochastic Diffusion Equations

GENERALIZED DECIMATION INVARIANT SEQUENCES IN DIMENSION N

2002 ◽  
Vol 12 (04) ◽  
pp. 709-737 ◽  
Author(s):  
A. BARBÉ ◽  
F. VON HAESELER
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
One Dimensional ◽  
Necessary And Sufficient

We generalize the concept of one-dimensional decimation invariant sequences, i.e. sequences which are invariant under a specific rescaling, to dimension N. After discussing the elementary properties of decimation-invariant sequences, we focus our interest on their periodicity. Necessary and sufficient conditions for the existence of periodic decimation invariant sequences are presented.

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