We study two-dimensional turbulence from a Lagrangian point of view, b
y integrating the motion of an ensemble of passively advected particle
s in the velocity field provided by numerical simulations of forced Na
vier-Stokes equations in two space dimensions. The role of coherent st
ructures is addressed and a summary of recent results on this problem
is given. We discuss the statistical properties of single-particle tra
jectories in 2D turbulence and study their scaling and fractal behavio
ur. The preliminary results reported here indicate that particle paths
in 2D turbulence seem to display a fractal nature characterized by a
correlation dimension D-2 approximate to 1.3. This value of the dimens
ion is similar to that observed for drifter trajectories in ocean flow
s.