Naslov
Random Sequential Packing of Cubes

Autori
Dutour Sikirić, Mathieu ; Itoh, Yoshiaki

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Izdavač
World Scientific Publishing

Grad
Singapur

Godina
2010

Stranica
256

ISBN
978-981-4307-83-3

Ključne riječi
Enumeration; stochastic models; random packing

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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