From [Chris Miller's paper][1] in 1995, the structure $(\mathbb R_{an}, (x\mapsto x^r)_{r\in\mathbb R})$,is the largest known polynomially bounded o-minimal structure as of that time. I wonder if it has been confirmed that it is *the* largest one or new examples have been found.


  [1]: https://www.jstor.org/stable/2161287