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Core entropy of polynomials with a critical point of maximal order

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The first author is supported by CONACY CB-2012/181247 and 488419/278289

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  • This paper discusses some properties of the topological entropy of the systems generated by polynomials of degree $ d$ with two critical points. A partial order in the parameter space is defined. The monotonicity of the topological entropy of postcritically finite polynomials of degree $ d$ acting on Hubbard tree is generalized.

    Mathematics Subject Classification: Primary: 37F10, 37B40; Secondary: 28D20, 37F45.


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  • Figure 1.  Connectedness locus for $d = 4$ and $d = 5$

    Figure 2.  Filled Julia set and intervals of angles of $P_a$

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