Statistics of the Galaxy Distribution

ISBN: 9780367396503 出版年：2001 页码：451 Martinez, Vicent J Saar, Enn CRC Press

THE CLUMPY UNIVERSE Galaxies Mapping the Universe Selection Effects and Biases Current and Future Galaxy Catalogs The Observed Structures: Clusters, Filaments, Walls and Voids THE STANDARD MODEL OF THE UNIVERSE Introduction The Friedmann-Robertson-Walker Universe Basic Observational Data COSMOLOGICAL POINT PROCESSES Introduction Point Processes The Relation Between Discrete and Continuous Distributions The Two-Point Correlation Function N-Point Correlation Functions Moments and Counts in Cells The Void Probability Function Nearest Neighbor Distances Galaxy Distribution as a Marked Point Field FRACTAL PROPERTIES OF THE GALAXY DISTRIBUTION Introduction Fractal Models for the Universe Tests on Projected Data Fractal Dimensions Multifractal Measures Multiscaling Lacunarity STATISTICAL AND GEOMETRICAL MODELS Introduction The Neyman-Scott Process and Related Models The Voronoi Model Statistical Models for the Counts in Cells FORMATION OF STRUCTURE Introduction Dynamics of Structure The Linear Approximation Exact Solutions Numerical Experiments RANDOM FIELDS IN COSMOLOGY Introduction Random Fields Gaussian Random Fields Realizations of Random Fields Non-Gaussian Fields Statistics of Peaks in Gaussian Random Fields Press-Schecter Method Halo Model of Galaxy Clustering Stochastic and Nonlinear Biasing FOURIER ANALYSIS OF CLUSTERING Introduction Estimation of Power Spectra Redshift Distortions Velocity Distortions in Power Spectrum Methods for Estimating Power Spectra Bispectrum Low-Dimensional Samples COSMOGRAPHY Introduction Potent Recipe Wiener Filtering Constrained Fields Time Machines Gravitational Lensing STRUCTURE STATISTICS Introduction Topological Description Structure Functions Cluster and Percolation Analysis Minimal Spanning Trees Wavelets Cluster Finding Algorithms Void Statistics Checking for Periodicity APPENDICES Coordinate Transformations Some Basic Concepts in Statistics REFERENCES WEB SITE REFERENCES INDEX