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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 
@article{UZKU_2009_151_2_a9,
     author = {L. P. Zhiltsova},
     title = {On {a~Matrix} of {First} {Moments} for {Decomposable} {Stochastic} {CF-Grammar}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {80--89},
     publisher = {mathdoc},
     volume = {151},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a9/}
}
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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/