Rigidity of multi-dimensional conformal iterated function systems (Q2758127)

This paper is devoted to the rigidity result of conformal iterated function systems for dimension \(d\geq 3\). The peculiarity of \(d\geq 3\) or the presence of the higher-dimensional structure of the phase space is the lack of advanced techniques of complex function theory in the plane. On the other hand, the special structure of conformal map in dimensions \(d\geq 3\) makes the presented theory slightly more elegant and clearer.