Geodesic
On a Matrix of First Moments for Decomposable Stochastic CF-Grammar
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 80-89
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Stochastic context-free grammar is considered which contains arbitrary number of classes of non-terminal symbols without restrictions on the succession order of classes. Corresponding matrix $A$ of first moments is decomposable. For the case when Perron's root of the matrix $A$ is strictly less than one, properties of the matrix $A^t$ are investigated under $t\to\infty$.
Keywords: algorithm, coding, context-free language, optimization, automaton, probability.
Mots-clés : compression, grammar 
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L. P. Zhiltsova. On a Matrix of First Moments for Decomposable Stochastic CF-Grammar. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 80-89. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a9/

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