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This is the first book where mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep mathematical approaches. It contains a collection of refereed papers presented at the Colloquium on Mathematics and Computer Science held at the University of Versailles-St-Quentin on September 18-20, 2000. The colloquium was a meeting place for researchers in mathematics and computer science and thus an important opportunity to exchange ideas and points of view, and to present new approaches and new results in the common areas such as algorithms analysis, trees, combinatorics, optimization, performance evaluation and probabilities. The book is intended for a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers. It provides an overview of the current questions in computer science and related modern mathematical methods. The range of applications is very wide and reaches beyond computer science.
Front Matters

Front Matters
Rawa Treess
The height and width of simple treess
On the node structure of binary search treess
The Saturation Level in Binary Search Trees
Smoothness and Decay Properties of the Limiting Quicksort Density Functions
The Number of Descendants in Simply Generated Random Treess
An Universal Predictor Based on Pattern Matching: Preliminary results

Front Matters
A bijective proof for the arborescent form of the multivariable Lagrange inversion formulas
Counting paths on the slit planes
Random generation of words of contextfree languages according to the frequencies of letterss
An Algebra for Proper Generating Treess
A set of welldefined operations on succession ruless
Front Matters
Convergence of a Genetic Algorithm with finite populations
Complexity issues for a redistribution problems
On the rate of escape of a mutationselection algorithms
Randomized Rendezvouss
Front Matters
Computing ClosedForm Stochastic Bounds on the Stationary Distribution of Markov Chainss
Effects of Reordering and Lumping in the Analysis of DiscreteTime SANss
Large deviations for polling systemss
A nonlinear integral operator encountered in the bandwidth sharing of a starshaped networks
Front Matters
A new proof of Yaglom’s exponential limit laws
The branching measure, Hausdorff and packing measures on the GaltonWatson trees
Likelihood ratio processes and asymptotic statistics for systems of interacting diffusions with branching and immigrations
Probabilistic Analysis of a Schröder Walk Generation Algorithms
Gibbs Familiess
Generating functions with highorder poles are nearly polynomials
Ultrahigh Moments for a Brownian Excursions
A zeroone law for random sentences in description logicss
Back Matters