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Article Contents
- ABSTRACT
- 1.INTRODUCTION
- 2.THEORETICAL BACKGROUND
- 2.1.The Big Bang Model and its Parameters
- 2.2.The Gravitational Instability Paradigm
- 2.3.Power Spectra, Initial Conditions, and Dark
Matter
- 2.3.1.The Correlation Function
- 2.4.The Relation Between the Mass and Galaxy
Density Fields
- 2.5.Outstanding Questions
- 3.REDSHIFT SURVEYS: SETTING THE QUANTITATIVE
GROUNDWORK
- 3.1.The Variety of Redshift Surveys
- 3.2.History of Redshift Surveys
- 3.3.The Measurement of Galaxy Redshifts
- 3.4.Determination of the Luminosity and Selection
Functions
- 3.5.Luminosity Functions: Scientific Results
- 3.6.Testing the Hubble Law with Redshift Surveys
- 3.7.The Smoothed Density Field
- 3.8.Filling in the Galactic Plane
- 4.REDSHIFT SURVEYS: A COSMOGRAPHICAL TOUR
- 5.REDSHIFT SURVEYS: GALAXY CLUSTERING
- 5.1.The Two-Point Correlation Function
- 5.2.Distortions in the Clustering Statistics
- 5.2.1.Redshift Space Distortions
- 5.2.2.Non-linear Effects
- 5.3.The Power Spectrum
- 5.4.Higher-Order Statistics
- 5.5.The Density Distribution Function and Counts
in Cells
- 5.6.Topology and Related Issues
- 5.7.The Dipole
- 5.8.Spherical Harmonics
- 5.9.Recovering the Real Space Density Field
- 5.10Clustering of Different Types of Galaxies
- 6.PECULIAR VELOCITY FIELDS: TECHNIQUES OF MEASUREMENT AND
ANALYSIS
- 6.1.Galaxian Distance Indicator Relations
- 6.1.1.The Tully-Fisher Relation for Spiral
Galaxies
- 6.1.2.The Faber-Jackson and
Dn-
Relations for Elliptical Galaxies
- 6.2.Universality of the Distance Indicator
Relations
- 6.3.Beyond TF and
Dn-
: A Look to the Future?
- 6.3.1.Surface Brightness Fluctuations
- 6.3.2.BCG
L-
relation
- 6.3.3.Possible Methods of Future Peculiar
Velocity Work
- 6.4.Statistical Bias and Methods of Peculiar
Velocity Analysis
- 6.4.1.Selection vs. Malmquist Bias - Method I
vs. Method II
- 6.4.2.Bias in a Cluster Sample
- 6.4.3.Bias in a Field Sample
- 6.4.4."Inverse" Distance Indicator Relations
- 6.4.5.The "Method Matrix" of Peculiar Velocity
Analysis
- 6.5.Quantifying Statistical Bias
- 6.5.1.Forward DIs: Selection Bias
- 6.5.2.Forward DIs: Malmquist Bias
- 6.5.3.Distance-Dependent Selection Functions: The
"Gould Effect"
- 6.5.4.Inverse DIs: Selection Bias
- 6.5.5.Inverse DIs: Malmquist Bias
- 6.5.6.The Method of Landy and Szalay
- 7.STATISTICAL MEASURES OF THE VELOCITY FIELD
- 7.1.A History of Observations of Large-Scale Flow
- 7.1.1.Early Work
- 7.1.2.1986-1990: The "Great Attractor"
- 7.1.3.1990-1994: Very Large-Scale Streaming?
- 7.1.4.The Lauer-Postman Result
- 7.1.5.Bulk Flows: A Summary
- 7.2.Homogeneous Peculiar Velocity Catalogs
- 7.3.Velocity Correlation Function
- 7.4.The Cosmic Mach Number
- 7.5.Reconstructing the Three-Dimensional Velocity
Field
- 7.5.1.The Initial Density Distribution Function
- 7.5.2.Higher-Order Moments of the Velocity Field
- 7.5.3.Voids in the Reconstructed Density Field
- 7.5.4.Other Approaches to Reconstructing the
Velocity Field
- 8.COMPARING THE DENSITY AND VELOCITY FIELDS
- 8.1.Comparison via the Velocity Field
- 8.1.1.Cluster Infall Models
- 8.1.2.Unparameterized Velocity Field Models
- 8.1.3.Method II+
- 8.2.Comparison via the Density Field
- 9.DISCUSSION
- 9.1.The Initial Power Spectrum
- 9.2.The Distribution Function of the Initial
Fluctuations
- 9.3.The Gravitational Instability Paradigm
- 9.4.The Value of
0
- 9.5.The Relative Distribution of Galaxies and Mass
- 9.6.Is the Big Bang Model Right?
- 9.7.The Future
- REFERENCES