  We present experimental evidence that the motion of point defects in thermal
convection patterns in an inclined fluid layer is well-described by Tsallis
statistics with an entropic index $q \approx 1.5$. The dynamical properties of
the defects (anomalous diffusion, shape of velocity distributions, power law
decay of correlations) are in good agreement with typical predictions of
nonextensive models, over a range of driving parameters.
