From Chris Miller's paper 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.
Is $(\mathbb R_{an}, (x\mapsto x^r)_{r\in\mathbb R})$ still the largest known polynomially bounded o-minimal structure so far?
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