Statistics of the galaxy distribution. (©2002)

• Record Type: Book
• Further Information: Note: Vicent J. Martínez, Enn Saar.
• Other Names: Martinez, V. J (Vicent J.), 1962-; Saar, Enn
• Contents: 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
• Publisher Details: Boca Raton [Fla.] : Chapman & Hall/CRC
• Publication Date: 2002
• Copyright Date: 2002
• Extent: 1 online resource (432 pages), illustrations, maps
• Subjects: 523.1/072/7; Galaxies -- Clusters; Cosmology -- Statistical methods; SCIENCE -- Cosmology; Sterrenstelsels; Verdelingen (statistiek); Electronic books
• Languages: English
• ISBNs: 1420036165; 9781420036169
• Related ISBNs: 1584880848; 9781584880844
• Notes: Note: Includes bibliographical references (pages 397-421) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.