Mathematics and Computer Science: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics) - Hardcover

Hardcover

ISBN 10: 3764364300 ISBN 13: 9783764364304

Verlag: Birkhäuser, 2000

Inhaltsangabe

1 Rawa trees.- 2 The height and width of simple trees.- 3 On the node structure of binary search trees.- 4 The saturation level in binary search tree.- 5 Smoothness and decay properties of the limiting quicksort density function.- 6 The number of descendants in simply generated random trees.- 7 An universal predictor based on pattern matching, preliminary results.- 8 A bijective proof of the arborescent form of the multivariable Lagrange's inversion formula.- 9 Counting paths on the slit plane.- 10 Random generation of words of context-free languages according to the frequencies of letters.- 11 An algebra for generating trees.- 12 A set of well-defined operations on succession rules.- 13 Convergence of a genetic algorithm with finite population.- 14 Complexity issues for a redistribution problem.- 15 On the rate of escape of a mutation-selection algorithm.- 16 Randomized rendezvous.- 17 Computing closed-form stochastic bounds on the stationary distribution of Markov chains.- 18 Effects of reordering and lumping in the analysis of discrete-time SANs.- 19 Large deviations for polling systems.- 20 A nonlinear integral operator encountered in the bandwidth sharing of a star-shaped network.- 21 A new proof of Yaglom's exponential limit law.- 22 The branching measure, Hausdorff and packing measures on the Galion-Watson tree.- 23 Likelihood ratio processes and asymptotic statistics for systems of interacting diffusions with branching and immigration.- 24 Probabilistic Analysis of a Schröder Walk Generation Algorithm.- 25 Gibbs families.- 26 Generating functions with high-order poles are nearly polynomial.- 27 Ultrahigh Moments for a Brownian Excursion.- 28 A zero-one law for random sentences in description logics.

Über diesen Titel

Reseña del editor

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2000
• Sprache: Englisch
• ISBN 10: 3764364300
• ISBN 13: 9783764364304
• Einband: Tapa dura
• Anzahl der Seiten: 360
• Herausgeber: Gardy Daniele, Mokkadem Abdelkader
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar