Are we living near the center of a local void?
  The properties of the cosmic microwave background (CMB) temperature and
polarisation anisotropies measured by a static, off-centered observer located
in a local spherically symmetric void, are described. In particular in this
paper we compute, together with the standard 2- point angular correlation
functions, the off-diagonal correlators, which are no more vanishing by
symmetry. While the energy shift induced by the off-centered position of the
observer can be suppressed by a proper choice of the observer velocity, a
lensing-like effect on the CMB emission point remains. This latter effect is
genuinely geometrical (e.g. non-degenerate with a boost) and reflects in the
structure of the off-diagonal correlators. At lowest order in this effect, the
temperature and polarisation correlation matrices have non-vanishing diagonal
elements, as usual, and all the off-diagonal terms are excited. This particular
signature of a local void model allows one, in principle, to disentangle
geometrical effects from local kinematical ones in CMB observations.
