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:
Online Access:Click for online access

MARC

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245 1 0 |a Random sequential packing of cubes /  |c Mathieu Dutour Sikirić, Yoshiaki Itoh. 
260 |a New Jersey :  |b World Scientific,  |c ©2011. 
300 |a 1 online resource (xiii, 240 pages) :  |b illustrations 
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520 |a 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 ... 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a 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. 
650 0 |a Combinatorial packing and covering. 
650 0 |a Sphere packings. 
650 7 |a MATHEMATICS  |x Combinatorics.  |2 bisacsh 
650 7 |a Combinatorial packing and covering  |2 fast 
650 7 |a Sphere packings  |2 fast 
700 1 |a Itoh, Yoshiaki,  |d 1943-  |1 https://id.oclc.org/worldcat/entity/E39PCjDrJwxkmmGCkb8Pm6Mc6C 
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776 0 8 |i Print version:  |a Dutour Sikirić, Mathieu.  |t Random sequential packing of cubes.  |d Singapore ; Hackensack, NJ : World Scientific, ©2011  |z 9789814307833  |w (DLC) 2010027617  |w (OCoLC)587219915 
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