Khashayar Filom

activity

20162019

collaborators

4 papers

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…

cs.LG2019

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…

math.DS2018

Real entropy rigidity under quasi-conformal deformations

Khashayar Filom

We set up a real entropy function $h_{R}$ on the space $M_{d}^{'}$ of Möbius conjugacy classes of real rational maps of degree $d$ by assigning to each class the real entr…

math.AG2016

Dessins on Modular Curves

Khashayar Filom, Ali Kamalinejad

Given a finite index subgroup $Γ$ of $PSL_{2} (Z)$ , we investigate Belyi functions on the corresponding modular curve $X (Γ)$ by introducing two methods for constructing s…