AL ITOH YOSHIAKI ET (EN) — RANDOM SEQUENTIAL PACKING OF CUBES

RANDOM SEQUENTIAL PACKING OF CUBES краткое содержание

RANDOM SEQUENTIAL PACKING OF CUBES - описание и краткое содержание, автор AL ITOH YOSHIAKI ET (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.Contents: The Flory ModelRandom Interval PackingOn the Minimum of Gaps Generated by 1-Dimensional Random PackingIntegral Equation Method for the 1-Dimensional Random PackingRandom Sequential Bisection and Its Associated Binary TreeThe Unified Kakutani Rényi ModelParking Cars with Spin But No LengthRandom Sequential Packing SimulationsDiscrete Cube Packings in the CubeDiscrete Cube Packings in the TorusContinuous Random Cube Packings in Cube and TorusAppendix: Combinatorial EnumerationReadership: Researchers in probability and statistics, combinatorics and graph theory, analysis & differential equations, coding theory and cryptography.