Displaying similar documents to “Analysis of a quantum Markov chain”

On convergence of homogeneous Markov chains

Petr Kratochvíl (1983)

Aplikace matematiky

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Let p t be a vector of absolute distributions of probabilities in an irreducible aperiodic homogeneous Markov chain with a finite state space. Professor Alladi Ramakrishnan conjectured the following strict inequality for norms of differences p t + 2 - p t + 1 < p t + 1 - p t . In the paper, a necessary and sufficient condition for the validity of this inequality is proved, which may be useful in investigating the character of convergence of distributions in Markov chains.