Statistics and Dynamics in the Large-scale Structure of the Universe

Takahiko Matsubara

In cosmology, observations and theories are related to each other by
statistics in most cases. Especially, statistical methods play central
roles in analyzing fluctuations in the universe, which are seeds of
the present structure of the universe. The confrontation of the
statistics and dynamics is one of the key methods to unveil the
structure and evolution of the universe. I will review some of the
major statistical methods in cosmology, in connection with linear and
nonlinear dynamics of the large-scale structure of the universe. The
present status of analyses of the observational data such as the Sloan
Digital Sky Survey, and the future prospects to constrain the nature
of exotic components of the universe such as the dark energy will be
presented.