On Rational Functions Sharing the Measure of Maximal Entropy
Tóm tắt
We show that describing rational functions
$$f_1,$$
$$f_2,$$
$$\dots ,f_n$$
sharing the measure of maximal entropy reduces to describing solutions of the functional equation
$$A\circ X_1=A\circ X_2=\dots =A\circ X_n$$
in rational functions. We also provide some results about solutions of this equation.
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