Dynamical systems of Möbius transformation: real, $p$-adic and complex variables

E. T. Aliev, U. A. Rozikov

In this paper we consider function $f(x)=\frac{x+a}{bx+c}$, (where $b\ne 0$, $c\ne ab$, $x\ne -\frac{c}{b}$) on three fields: the set of real, $p$-adic and complex numbers. We study…