Average Case Analysis of Algorithms on Sequences

Wojciech Szpankowski (Author)

9780471240631, Wiley

Hardback, published 24 April 2001

576 pages
23.8 x 16.2 x 3.1 cm, 0.923 kg

"Surveying the major techniques of average case analysis, this graduate textbook presents both analytical methods used for well-structured algorithms and probabilistic methods used for more structurally complex algorithms." (SciTech Book News, Vol. 25, No. 3, September 2001)
"...contains a comprehensive treatment on probabilistic, combinatorial, and analytical techniques and methods...treatment is clear, rigorous, self-contained, with many examples and exercises." (Zentralblatt MATH Vol. 968, 2001/18)
"This well-organized book...is certainly useful...It is a valuable source for a deeper and more precise understanding of the behaviors of algorithms on sequences." (Mathematical Reviews, 2002f)

Zufallsgesteuerte Algorithmen erwiesen sich im Laufe des letzten Jahrzehnts in vielen Zusammenhängen als sehr erfolgreich, darunter in der computergestützten Geometrie, der Visualisierung naturwissenschaftlicher Daten, der Molekularbiologie und in der Informationstheorie. Dieser Band vereint mit einem ausgesprochen interdisziplinären Ansatz analytische und probabilistische Theorien. Jedes Kapitel wird durch Übungsaufgaben und weiterführende Anmerkungen ergänzt.

Foreword.

Preface.

Acknowledgments.

PROBLEMS ON WORDS.

Data Structures and Algorithms on Words.

Probabilistic and Analytical Models.

PROBABILISTIC AND COMBINATORIAL TECHNIQUES.

Inclusion-Exclusion Principle.

The First and Second Moment Methods.

Subadditive Ergodic Theorem and Large Deviations.

Elements of Information Theory.

ANALYTIC TECHNIQUES.

Generating Functions.

Complex Asymptotic Methods.

Mellin Transform and Its Applications.

Analytic Poissonization and Depoissonization.

Bibliography.

Index.

Subject Areas: Mathematics [PB]