The dynamical system generated by the floor function $\lfloor \lambda x\rfloor$

U. A. Rozikov, I. A. Sattarov, J. B. Usmonov

We investigate the dynamical system generated by the function $\lfloor \lambda x\rfloor$ defined on $\mathbb{R}$ and with a parameter $\lambda \in \mathbb{R}$. For each given $m\in \mathbb{N}$ we sh…