Stochastic Models Based on Asymptotic Polystochastic Chains

1 Stochastic Models Based on Asymptotic Polystochastic Chains 

We begin the discussion by referring to the stochastic model given by relation (4.58), which is rewritten here as shown in relation (4.120). Here for a finite Markov connection process we must consider the constant time values for all the elements of the matrix P = pij i k- 

if we consider that the connection in our stochastic model is given by a Mar- 

The model described by Eq. (4.122) is known as the generalized random displacement or generalized random walk. 

Relation (4.123) is obtained when the model relation (4.122) is written for the case of a stochastic process with two states and constant length of the particle displacement (this model was previously introduced with relation (4.59)). 

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