  We report experiments on defect-tracking in the state of undulation chaos
observed in thermal convection of an inclined fluid layer. We characterize the
ensemble of defect trajectories according to their velocities, relative
positions, diffusion, and gain and loss rates. In particular, the defects
exhibit incidents of rapid transverse motion which result in power law
distributions for a number of quantitative measures. We examine connections
between this behavior and L\'evy flights and anomalous diffusion. In addition,
we describe time-reversal and system size invariance for defect creation and
annihilation rates.
