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math.DS2019
On the non-monotonicity of entropy for a class of real quadratic rational maps
Khashayar Filom, Kevin M. Pilgrim
We prove that the entropy function on the moduli space of real quadratic rational maps is not monotonic by exhibiting a continuum of disconnected level sets. This entropy behavior…
math.DS2018
Real entropy rigidity under quasi-conformal deformations
Khashayar Filom
We set up a real entropy function on the space of Möbius conjugacy classes of real rational maps of degree by assigning to each class the real entr…