  We study the statistics of turbulent velocity fluctuations in the
neighbourhood of a strong large scale vortex at very large Reynolds number. At
each distance from the vortex core, we observe that the velocity spectrum has a
power law ``inertial range'' of scales and that intermittency -- defined as the
variation of the probability density function (PDF) of velocity increments as
the length of the increment is varied -- is also present. We show that the
spectrum scaling exponents and intermittency characteristics vary with the
distance to the vortex. They are also influenced by the large scale dynamics of
the vortex.
