PACS numbers: 98.80.-k; 98.80.Es; 98.80.Bp; 95.36.+x

I. INTRODUCTION

II. PECULIAR VELOCITY DECOMPOSITION

III. MODELING THE REDSHIFT SPACE DISTORTION

IV. RECONSTRUCTION OF THE 3D VELOCITY FIELD IN REDSHIFT SURVEYS

V. FROM MATTER DISTRIBUTION TO GALAXY DISTRIBUTION

VI. DISCUSSIONS AND SUMMARY