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- W1567171395 abstract "It is proved that non-exceptional rational functions $f$ and $g$ on the Riemann sphere have the same measure of maximal entropy iff there exist iterates $F$ of $f$ and $G$ of $g$ and natural numbers $M,N$ such that begin{equation*} (G^{-1}circ G)circ G^{M} = (F^{-1}circ F) circ F^{N}.tag {$*$} end{equation*} If one assumes only that $f,g$ have the same Julia set and no singular or parabolic domains of normality for the iterates, one also proves $(*)$." @default.
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- W1567171395 date "1997-01-01" @default.
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- W1567171395 title "When do two rational functions have the same Julia set?" @default.
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