Guizhen, Cui, On the Linear Representations of Circle Expanding Maps, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 10(2), 1994, pp. 202-208
In this paper, it is proved that the two real analytic expanding endomorphisms of the unit circle are equivalent if and only if they have equal eigenvalues along corresponding cycles, A sufficient and necessary condition that a real analytic solution of Cvitanovic-Feigenbaum equation induces a real analytic expanding map is given.