Statistics of the Galaxy Distribution


Book Description

Over the last decade, statisticians have developed new statistical tools in the field of spatial point processes. At the same time, observational efforts have yielded a huge amount of new cosmological data to analyze. Although the main tools in astronomy for comparing theoretical results with observation are statistical, in recent years, cosmologis




Statistics of the Galaxy Distribution


Book Description

Over the last decade, statisticians have developed new statistical tools in the field of spatial point processes. At the same time, observational efforts have yielded a huge amount of new cosmological data to analyze. Although the main tools in astronomy for comparing theoretical results with observation are statistical, in recent years, cosmologists have not been generally aware of the developments in statistics and vice versa. Statistics of the Galaxy Distribution describes both the available observational data on the distribution of galaxies and the applications of spatial statistics in cosmology. It gives a detailed derivation of the statistical methods used to study the galaxy distribution and the cosmological physics needed to formulate the statistical models. Because the prevalent approach in cosmological statistics has been frequentist, the authors focus on the most widely used of these methods, but they also explore Bayesian techniques that have become popular in large-scale structure studies. Describing the most popular methods, their latest applications, and the necessary mathematical and astrophysical background, this groundbreaking book presents the state of the art in the statistical description of the large-scale structure of the Universe. Cosmology's well-defined and growing data sets represent an important challenge for the statistical analysis, and therefore for the statistics community. Statistics of the Galaxy Distribution presents a unique opportunity for researchers in both fields to strengthen the connection between them and, using a common language, explore the statistical description of the universe.




Fractals in Physics


Book Description

Fractals in Physics




Lectures on Cosmology


Book Description

The lectures that four authors present in this volume investigate core topics related to the accelerated expansion of the Universe. Accelerated expansion occured in the ?36 very early Universe – an exponential expansion in the in ationary period 10 s after the Big Bang. This well-established theoretical concept had rst been p- posed in 1980 by Alan Guth to account for the homogeneity and isotropy of the observable universe, and simultaneously by Alexei Starobinski, and has since then been developed by many authors in great theoretical detail. An accelerated expansion of the late Universe at redshifts z




Fundamental Questions of Practical Cosmology


Book Description

This book guides readers (astronomers, physicists, and university students) through central questions of Practical Cosmology, a term used by the late Allan Sandage to denote the modern scientific endeavor to find the cosmological model best describing the universe of galaxies, its geometry, size, age, and matter composition. The authors draw on their personal experience in astrophysics and cosmology to explain key concepts of cosmology, both observational and theoretical, and to highlight several items which give cosmology its special character. These highlighted items are: Ideosyncratic features of the “cosmic laboratory”, Malmquist bias in the determination of cosmic distances, Theory of gravitation as a cornerstone of cosmological models, Crucial tests for checking the reality of space expansion, Methods of analyzing the structures of the universe as mapped by galaxies, Usefulness of fractals as a model to describe the large-scale structure and new cosmological physics inherent in the Friedmann world model.




The Discovery of Cosmic Voids


Book Description

The large-scale structure of the Universe is dominated by vast voids with galaxies clustered in knots, sheets, and filaments, forming a great 'cosmic web'. In this personal account of the major astronomical developments leading to this discovery, we learn from Laird A. Thompson, a key protagonist, how the first 3D maps of galaxies were created. Using non-mathematical language, he introduces the standard model of cosmology before explaining how and why ideas about cosmic voids evolved, referencing the original maps, reproduced here. His account tells of the competing teams of observers, racing to publish their results, the theorists trying to build or update their models to explain them, and the subsequent large-scale survey efforts that continue to the present day. This is a well-documented account of the birth of a major pillar of modern cosmology, and a useful case study of the trials surrounding how this scientific discovery became accepted.




Irreversible Time Physics


Book Description

In modern science, including theoretical physics, as in the early classical mechanics, the unnatural reversible time of Newton, based on the medieval concept of geometric time by Nicholas Oresme, is still used. This “original sin” of natural sciences has unintended consequences and creates a set of paradoxes and methodological problems for science. The book explores two new models of essentially irreversible time – decelerating cosmological time and irreversible discrete time of a microcosm. It discusses recent astronomical observations that reveal evidence of the cosmological deceleration of the pace of time in the distant cosmos, in the solar system and on earth. The structure of the model of irreversible discrete time of a microcosm, as considered in the book, allows for the existence of both time and anti-time. In particular, the model predicts new uncertainty relations and violation of the mirror symmetry of the integral internal parity of the entire population of micro particles that correspond to current studies of elementary particle physics.







The Astrophysical Journal


Book Description

"Letters to the Editor" issued as Part 2 and separately paged from v. 148, 1967.




Statistical Inference and Simulation for Spatial Point Processes


Book Description

Spatial point processes play a fundamental role in spatial statistics and today they are an active area of research with many new applications. Although other published works address different aspects of spatial point processes, most of the classical literature deals only with nonparametric methods, and a thorough treatment of the theory and applications of simulation-based inference is difficult to find. Written by researchers at the top of the field, this book collects and unifies recent theoretical advances and examples of applications. The authors examine Markov chain Monte Carlo algorithms and explore one of the most important recent developments in MCMC: perfect simulation procedures.