  We provide a sufficient condition for the continuity of real valued
permanental processes. When applied to the subclass of permanental processes
which consists of squares of Gaussian processes, we obtain the sufficient
condition for continuity which is also known to be necessary. Using an
isomorphism theorem of Eisenbaum and Kaspi which relates Markov local times and
permanental processes, we obtain a general sufficient condition for the joint
continuity of local times.
