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Titlebook: Mathematics and Computer Science; Algorithms, Trees, C Danièle Gardy,Abdelkader Mokkadem Conference proceedings 2000 Springer Basel AG 2000

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Counting paths on the slit planerating functions are algebraic, and sometimes remarkably simple: for instance, the number of paths of length 2n + 1 going from (0,0) to (1,0) and avoiding the nonpositive horizontal axis (except at their starting point) is C., the (2n + 1)th Catalan number.More generally, we enumerate exactly all pa
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Random generation of words of context-free languages according to the frequencies of letters with re-spect to a given distribution of the number of occurrences of the letters. We consider two alternatives of the problem. In the first one, a vector of natural numbers (n., n.,…,n.) such that n. + n.+… + n. = n is given, and the words must be generated uniformly among the set of words of L wh
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An Universal Predictor Based on Pattern Matching: Preliminary results 1e rate of convergence of the prediction error is 0(n.) for any ε > 0. In this preliminary version, we only prove our results for memoryless sources and a sketch for mixing sources. However, we indicate that our algorithm can predict equally successfully the next k symbols as long as k= 0(1).
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Random generation of words of context-free languages according to the frequencies of lettersesign and study two alternatives of the recursive method which is classically employed for the uniform generation of combinatorial structures. This type of “controlled” non-uniform generation can be applied in the field of statistical analysis of genomic sequences.
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