Equidistribution of geodesics on homology classes and analogues for free groups
| dc.creator | Petridis, Yiannis | |
| dc.creator | Risager, Morten S. | |
| dc.date | 2005-09-22 | |
| dc.date | 2006-03-20 | |
| dc.date.accessioned | 2026-07-07T06:43:05Z | |
| dc.date.available | 2026-07-07T06:43:05Z | |
| dc.description | We investigate how often geodesics have homology in a fixed set of the homology lattice of a compact Riemann surface. We prove that closed geodesics are equidistributed on any sets with asymptotic density with respect to a specific norm. We explain the analogues for free groups, conjugacy classes and discrete logarithms, in particular, we investigate the density of conjugacy classes with relatively prime discrete logarithms. | |
| dc.description | 24 pages, 2 figures. Changes: Include a reference to a preprint of Collier and Sharp where they apply our techniques to variable curvature. Corrected a lemma which Collier and Sharp pointed out was wrong. Our main theorem changed accordingly | |
| dc.identifier | https://arxiv.org/abs/math/0509513 | |
| dc.identifier | http://arxiv.org/abs/math/0509513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102284 | |
| dc.subject | Number Theory | |
| dc.subject | 05C25; 20F69, 37D40, 11M36 | |
| dc.title | Equidistribution of geodesics on homology classes and analogues for free groups | |
| dc.type | text |