As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Nielsen type periodic point theory, but there are many obstacles. Many times we get similar results to the "classical ones" in Nielsen periodic point theory, but with stronger hypotheses.
Topology and its Applications
Heath, Philip and Staecker, Christopher P., "A Nielsen theory for coincidences of iterates" (2012). Mathematics Faculty Publications. 29.
Heath, Philip and Staecker, P. Christopher, A Nielsen theory for coincidences of iterates. Topology and its Applications. Accepted for publication 2012.