Year: 2009
Type: preprint
Abstract: Let ${\mathcal F}_I=\{f:I \to I| f(x)= (Ax+B)/(Cx+D); AD-BC \neq 0 \}$, where $I$ is an interval. For $x\in I$, let $Ω_x$ be the orbit of $x$ under the action of the semigroup of functions generated by $f,g \in {\mathcal F}_I$. Our main result in this paper is to describe all $f,g \in {\mathcal F}_I$ such that $Ω_x$ is dense in $I$ for all $x$.
Source: arXiv (Cornell University)
Author: Javaheri, Mohammad
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2147488720