4 citations · 6 across the 4 of their papers we have counts for
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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.DS2019
Expansion properties for finite subdivision rules II
William Floyd, Walter Parry, Kevin M. Pilgrim
We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is isotopic to the subdivi…
math.DS2019★ 4 cited
Bounded hyperbolic components of bicritical rational maps
Hongming Nie, Kevin M. Pilgrim
We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical…