scholarly journals An exact soluble equation for the steady state probability distribution in a nonlinear system: application to the noise reduction in Raman Ring Laser

2011 ◽  
Vol 43 (11-15) ◽  
pp. 137-145 ◽  
Author(s):  
Van Cao Long ◽  
Khoa Doan Quoc
Keyword(s):  
Steady State ◽  
Nonlinear System ◽  
Probability Distribution ◽  
Noise Reduction ◽  
System Application ◽  
Ring Laser ◽  
State Probability ◽  
Steady State Probability

A formula for singular perturbations of Markov chains

1994 ◽  
Vol 31 (03) ◽  
pp. 829-833 ◽  
Author(s):  
Jean B. Lasserre
Keyword(s):  
Markov Chain ◽  
Steady State ◽  
Probability Distribution ◽  
Markov Chains ◽  
Singular Perturbations ◽  
Singularly Perturbed ◽  
State Probability ◽  
Regular Perturbation ◽  
Steady State Probability ◽  
Fundamental Matrices

We give formulas for updating both the steady-state probability distribution and the fundamental matrices of a singularly perturbed Markov chain. This formula generalizes Schweitzer's regular perturbation formulas to the case of singular perturbations.

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