
Abstract 
1 
Introduction 
2 
Clustering in the Expanding Universe 

2.1 
The
cosmological principle 

2.2 
From the Einstein equation to the Friedmann
equation 

2.3 
Expansion law and age of the Universe 

2.4 
Einstein’s static model
and Lemaître’s model 

2.5 
Vacuum energy as an effective cosmological
constant 

2.6 
Gravitational instability 

2.7 
Linear growth rate of the density
fluctuation 
3 
Statistics of Cosmological Density Fluctuations 

3.1 
Gaussian
random field 

3.2 
Lognormal distribution 

3.3 
Higherorder correlation
functions 

3.4 
Genus statistics 

3.5 
Minkowski functionals 
4 
Galaxy
Biasing 

4.1 
Concepts and definitions of biasing 

4.2 
Modeling biasing 

4.3 
Density
peaks and dark matter halos as toy models for galaxy biasing 

4.4 
Biasing
of galaxies in cosmological hydrodynamic simulations 

4.5 
Halo occupation
function approach for galaxy biasing 
5 
Relativistic Effects Observable
in Clustering at High Redshifts 

5.1 
Cosmological lightcone effect on
the twopoint correlation functions 

5.2 
Evaluating twopoint correlation
functions from Nbody simulation data 

5.3 
Cosmological redshiftspace
distortion 

5.4 
Twopoint clustering statistics on a lightcone in cosmological
redshift space 
6 
Recent Results from 2dF and SDSS 

6.1 
The latest galaxy
redshift surveys 

6.2 
Cosmological parameters from 2dFGRS 

6.3 
Luminosity and
spectraltype dependence of galaxy clustering 

6.4 
Topology of the Universe:
Analysis of SDSS galaxies in terms of Minkowski functionals 

6.5 
Other
statistical measures 
7 
Discussion 
8 
Acknowledgements 

References 

Figures 

Tables 