Random Sequential Packing of Cubes
Author | : Mathieu Dutour Sikiri? |
Publisher | : World Scientific |
Total Pages | : 255 |
Release | : 2011 |
ISBN-10 | : 9789814307833 |
ISBN-13 | : 9814307831 |
Rating | : 4/5 (831 Downloads) |
Download or read book Random Sequential Packing of Cubes written by Mathieu Dutour Sikiri? and published by World Scientific. This book was released on 2011 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.