3 papers
math.NT2018
Testing the transcendence conjectures of a modular involution of the real line and its continued fraction statistics
Hakan Ayral, A. Muhammed Uludağ
We study the values of the recently introduced involution J (jimm) of the real line, which is equivariant with the action of the group PGL(2,Z). We test our conjecture that this in…
cs.NE2017
Parallel and in-process compilation of individuals for genetic programming on GPU
Hakan Ayral, Songül Albayrak
Three approaches to implement genetic programming on GPU hardware are compilation, interpretation and direct generation of machine code. The compiled approach is known to have a pr…
math.AG2016
On the involution of the real line induced by Dyer's outer automorphism of PGL(2,Z)
A. Muhammed Uludağ, Hakan Ayral
We study the involution of the real line induced by the outer automorphism of the extended modular group PGL(2,Z). This `modular' involution is discontinuous at rationals but satis…