Pointwise Dimension Analyses of the Las Campanas Redshift Survey

拉斯坎帕纳斯红移巡天的逐点维度分析

• 批准号: 9808608
• 负责人: Jason Best
• 金额: $ 1.48万
• 依托单位: Shepherd University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-09-01 至 2000-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9808608&HistoricalAwards=false
• 关键词: Pointwise; Dimension; Analyses; Las; Campanas

AST-9808608 Best In simplest terms, one of the fundamental goals of cosmology is to describe the Universe as accurately as possible. In order to do this, the multiple aspects of the Universe, both past and present-day, must be completely modeled. Some of these characteristics include the age, density, temperature, and extent of the Universe and its components. The research to be carried out will explore the clustering of objects in the Universe. The modern motivation for fractal geometry may best be summed up by this quote of Benoit Mandelbrot: "Mountains are not cones, clouds are not spheres, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line." Fractals are, in simplest terms, "objects which are (approximately) self-similar on all scales". The renewed modern interest in fractals has led to applying it to the study of large-scale structure in the Universe, giving a quantitative descriptive scheme to ideas that had been expressed qualitatively as early as C. V. L. Charlier's map of extragalactic nebulae in the 1920s. The Las Campanas Redshift Survey, of about 26000 galaxies, has positional and redshift information on the galaxies and these data will be studied using the pointwise dimension, or PD method. The PD method is an easy-to-use fractal statistic which has numerous advantages over the more traditional methods used to study the clustering of galaxies. It is hoped that much information can be gleaned about the environments of the galaxies in the Las Campanas catalog and these results may be used for comparison of results of studies of future catalogs. ***

AST-9808608 最佳 用最简单的话来说，宇宙学的基本目标之一是尽可能准确地描述宇宙。 为了做到这一点，必须对宇宙的过去和现在的多个方面进行完全建模。 其中一些特征包括宇宙及其组成部分的年龄、密度、温度和范围。 将要进行的研究将探索宇宙中物体的聚集。 分形几何的现代动机可以最好地用伯努瓦·曼德尔布罗特的这句话来概括：“山不是圆锥体，云不是球体，海岸线不是圆形，树皮不光滑，闪电也不是沿直线传播。” 用最简单的术语来说，分形是“在所有尺度上（近似）自相似的对象”。现代人对分形的兴趣重新燃起，导致人们将其应用于宇宙大尺度结构的研究，为早在 20 世纪 20 年代 C. V. L. Charlier 的河外星云地图中定性表达的思想提供了定量的描述方案。 拉斯坎帕纳斯红移巡天约有 26000 个星系，拥有星系的位置和红移信息，这些数据将使用逐点维度或 PD 方法进行研究。 PD 方法是一种易于使用的分形统计方法，与用于研究星系聚类的传统方法相比具有许多优点。 希望能够收集到有关拉斯坎帕纳斯星表中星系环境的大量信息，并将这些结果用于未来星表研究结果的比较。 ***