We investigate the behavior of a complete flat metric on a surface near a puncture. We call a puncture on a flat surface regular if it has a neighborhood which is isometric to that of a point at infinity of a cone. We prove ...

We introduce a model of the hyperbolic plane which arises from Thurston's ideas on best Lipschitz maps between surfaces. More precisely, we apply Thurston's theory to the space of Euclidean triangles. We prove that the ...

Sabit bir iç açı datasına sahip her düz diskler ailesinin bilardo akışı topolojik geçişli olan yoğun bir Gδ kümesi içerdiğini gösteriyoruz.