Iteration of analytic multifunctions

It is shown that iteration of analytic set-valued functions can be used to generate composite Julia sets in C-N. Then it is shown that the composite J ulia sets generated by a finite family of regular polynomial mappings of de gree at least 2 in C-N, depend analytically on the generating polynomials, in the sense of the theory of analytic set-valued functions. It is also pro ved that every pluriregular set can be approximated by composite Julia sets . Finally, iteration of infinitely many polynomial mappings is used to give examples of pluriregular sets which are not composite Julia sets and on wh ich Markov's inequality fails.