  Measurements of Lagrangian single-point and multiple-point statistics in a
quasi-two-dimensional stratifed layer system are reported. The system consists
of a layer of salt water over an immiscible layer of Fluorinert and is forced
electromagnetically so that mean-squared vorticity is injected at a
well-defined spatial scale. Simultaneous cascades develop in which enstrophy
flows predominately to small scales whereas energy cascades, on average, to
larger scales. Lagrangian velocity correlations and one- and two-point
displacements are measured for random initial conditions and for initial
positions within topological centers and saddles. The behavior of these
quantities can be understood in terms of the trapping characteristics of
long-lived centers, the slow motion near strong saddles, and the rapid
fluctuations outside of either centers or saddles.
