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Random Sequential Packing of Cubes

Random Sequential Packing of Cubes by Mathieu Dutour Sikiric
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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-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.
World Scientific Publishing Company; January 2011
255 pages; ISBN 9789814464789
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Title: Random Sequential Packing of Cubes
Author: Mathieu Dutour Sikiric; Yoshiaki Itoh