02954nam 2200601 a 450 991081960650332120240516085336.01-283-14842-09786613148421981-4307-84-X(CKB)2670000000095528(EBL)737608(OCoLC)733047773(SSID)ssj0000525195(PQKBManifestationID)12251769(PQKBTitleCode)TC0000525195(PQKBWorkID)10487928(PQKB)11632844(MiAaPQ)EBC737608(WSP)00001258 (Au-PeEL)EBL737608(CaPaEBR)ebr10480246(CaONFJC)MIL314842(EXLCZ)99267000000009552820100716d2011 uy 0engur|n|---|||||txtccrRandom sequential packing of cubes /Mathieu Dutour Sikirić, Yoshiaki Itoh1st ed.Singapore ;Hackensack, N.J. World Scientificc20111 online resource (255 p.)Description based upon print version of record.981-4307-83-1 Includes bibliographical references and index.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; IndexIn 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 tCombinatorial packing and coveringSphere packingsCombinatorial packing and covering.Sphere packings.511/.6Dutour Sikirić Mathieu739420Itoh Yoshiaki1943-1596015MiAaPQMiAaPQMiAaPQBOOK9910819606503321Random sequential packing of cubes3917180UNINA