Discrete Probability and Algorithms

1995
ISBN: 978-0-387-94532-3
Verlag: Springer

Buch, Englisch, Band 72, 158 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 442 g

Reihe: The IMA Volumes in Mathematics and its Applications

Discrete probability theory and the theory of algorithms have become close partners over the last ten years, though the roots of this partnership go back much longer. The papers in this volume address the latest developments in this active field. They are from the IMA Workshops "Probability and Algorithms" and "The Finite Markov Chain Renaissance." They represent the current thinking of many of the world's leading experts in the field.

Researchers and graduate students in probability, computer science, combinatorics, and optimization theory will all be interested in this collection of articles. The techniques developed and surveyed in this volume are still undergoing rapid development, and many of the articles of the collection offer an expositionally pleasant entree into a research area of growing importance.

Zielgruppe

Research

Autoren/Hrsg.

Aldous, David

Steele, J. Michael

Diaconis, Persi

Spencer, Joel

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

On simulating a Markov chain stationary distribution when transition probabilities are unknown.- A note on network reliability.- Rectangular arrays with fixed margins.- Three examples of Monte-Carlo Markov chains: at the interface between statistical computing, computer science, and statistical mechanics.- The move-to-front rule for self-organizing lists with Markov dependent requests.- The asymptotic lower bound on the diagonal Ramsey numbers: A closer look.- Random walks and undirected graph connectivity: A survey.- Sidon sets with small gaps.- Variations on the monotone subsequence theme of Erd?s and Szekeres.- Randomised approximation schemes for Tutte-Gröthendieck invariants.- Quasi-additive Euclidean functionals.