5 papers
Dynamics of a family of continued fraction maps
Muhammed Uludağ, Hakan Ayral
We study the dynamics of a family of continued fraction maps parametrized by the unit interval. This family contains as special instances the Gauss continued fraction map and the F…
A presentation of PGL(2,Q)
Muhammed Uludag
We give a conjectural presentation of the infinitely generated group PGL(2,Q) with an infinite list of relators.
A subtle symmetry of Lebesgue's measure
Muhammed Uludağ, Hakan Ayral
We represent the Lebesgue measure on the unit interval as a boundary measure of the Farey tree and show that this representation has a certain symmetry related to the tree automorp…
Hypergeometric Galois Actions
Muhammed Uludag, Ismail Saglam
We outline a project to study the Galois action on a class of modular graphs (special type of dessins) which arise as the dual graphs of the sphere triangulations of non-negative c…
Fundamental groups of some quadric-line arrangements
Meirav Amram, Mina Teicher, Muhammed Uludag
In this paper we obtain presentations of fundamental groups of the complements of three quadric-line arrangements in P^2. The first arrangement is a smooth quadric Q with n tangent…