7 citations · 14 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
Topological aspects of the dynamical moduli space of rational maps
Maxime Bergeron, Khashayar Filom, Sam Nariman
We investigate the topology of the space of Möbius conjugacy classes of degree rational maps on the Riemann sphere. We show that it is rationally acyclic and we compute its fun…
On functions computed on trees
Roozbeh Farhoodi, Khashayar Filom, Ilenna Simone Jones +1
Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree i…
Monotonicity of entropy for real quadratic rational maps
Khashayar Filom
The monotonicity of entropy is investigated for real quadratic rational maps on the real circle based on the natural partition of the corresponding modul…