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Gauss Markov sequences with Gibbs distribution

Stochastic models based on Gibbs distribution, well-known in statistical physics, remain scantily explored in information applications. This statement is of concern for the description of signals (messages, parasites), having a Gauss distribution. Therefore, the establishment of connections between Gibbs and traditional Markov expositions of signals is of interest, because it will allow us to combine the virtues of Gibbs and traditional expositions of Markov processes.