On the distribution of angles between geodesic rays associated with hyperbolic lattice points
| dc.creator | Boca, Florin P. | |
| dc.date | 2006-08-03 | |
| dc.date | 2007-01-02 | |
| dc.date.accessioned | 2026-07-07T07:37:46Z | |
| dc.date.available | 2026-07-07T07:37:46Z | |
| dc.description | For every two points $z_0,z_1$ in the upper half-plane, consider all elements $γ$ in the principal congruence group $Γ(N)$, acting on the upper half-plane by fractional linear transformations, such that the hyperbolic distance between $z_1$ and $γz_0$ is at most $R>0$. We study the distribution of angles between the geodesic rays $[z_1,γz_0]$ as $R\to \infty$, proving that the limiting distribution exists independently of $N$ and explicitly computing it. When $z_1=z_0$ this is found to be the uniform distribution on the interval $[-π/2,π/2]$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608078 | |
| dc.identifier | http://arxiv.org/abs/math/0608078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120885 | |
| dc.subject | Number Theory | |
| dc.subject | Group Theory | |
| dc.subject | 11P21; 11L05; 30F35; 51M09 | |
| dc.title | On the distribution of angles between geodesic rays associated with hyperbolic lattice points | |
| dc.type | text |