Random Sequential Packing Of Cubes
Author:   Yoshiaki Itoh (The Graduate Univ For Advanced Studies, Japan & The Inst Of Statistical Math, Japan) ,  Mathieu Dutour Sikiric (Rudjer Boskovic Inst, Croatia)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814307833


Pages:   256
Publication Date:   26 January 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Random Sequential Packing Of Cubes


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Overview

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.

Full Product Details

Author:   Yoshiaki Itoh (The Graduate Univ For Advanced Studies, Japan & The Inst Of Statistical Math, Japan) ,  Mathieu Dutour Sikiric (Rudjer Boskovic Inst, Croatia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 2.00cm , Length: 22.90cm
Weight:   0.476kg
ISBN:  

9789814307833


ISBN 10:   9814307831
Pages:   256
Publication Date:   26 January 2011
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Random Interval Packing; The Speed of Convergence to the Renyi Constant; The Dvoretzky Robbins Central Limit Theorem; Gap Size; The Minimum of Gaps; Kakutani's Interval Splitting; Sequential Bisection and Binary Search Tree; Car Parking with Spin; Golay Code and Random Packing; Discrete Cube Packing; Torus Cube Packing; Continuous Random Cube Packing in Cube and Torus; Combinatorial Enumeration.

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