  The second part of the paper mainly deals with convergence of infinite
determinantal measures, understood as the convergence of the approximating
finite determinantal measures. In addition to the usual weak topology on the
space of probability measures on the space of configurations, we also consider
the weak topology on the space of finite measures on the space of finite
measures on the half-line, used via the natural immersion, well-defined almost
surely with respect to the infinite Bessel point process, of the space of
configurations into the space of finite measures on the half-line. The main
results of the second part are sufficient conditions for tightness of families
of determinantal measures, for convergence of sequences of induced proceses, as
well as for sequences of finite-dimensional perturbations of determinantal
processes.
