Random sequential packing of cubes

Random sequential packing of cubes / Mathieu Dutour Sikirić, Yoshiaki Itoh.

In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-d...

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Bibliographic Details
Main Author: Dutour Sikirić, Mathieu
Other Authors: Itoh, Yoshiaki, 1943-
Format: eBook
Language:English
Published: New Jersey : World Scientific, ©2011.
Subjects:
Combinatorial packing and covering.
Sphere packings.
MATHEMATICS > Combinatorics.
Combinatorial packing and covering
Sphere packings
Online Access:Click for online access
Table of Contents:
  • Preface; Contents; 1. Introduction; 2. The Flory model; 3. Random interval packing; 4. On the minimum of gaps generated by 1-dimensional random packing; 5. Integral equation method for the 1-dimensional random packing; 6. Random sequential bisection and its associated binary tree; 7. The unified Kakutani Renyi model; 8. Parking cars with spin but no length; 9. Random sequential packing simulations; 10. Discrete cube packings in the cube; 11. Discrete cube packings in the torus; 12. Continuous random cube packings in cube and torus; Appendix A Combinatorial Enumeration; Bibliography; Index.

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