Proves the Favre-Gauthier conjecture on the structure of Inter(A) for polynomials A of degree >=2 and bounds periods of periodic curves using symmetry groups of Julia sets.
Eremenko,Some functional equations connected with the iteration of rational functions (Russian), Algebra i Analiz 1 (1989), 102-116; translation in Leningrad Math
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On intertwined polynomials
Proves the Favre-Gauthier conjecture on the structure of Inter(A) for polynomials A of degree >=2 and bounds periods of periodic curves using symmetry groups of Julia sets.