Non-simple geodesics on surfaces
Abstract/Contents
- Abstract
- In this thesis, we study geodesics on pairs of pants, and then generalize our results to all surfaces. We get bounds on the number of closed geodesics in a hyperbolic surface given certain upper bounds on both length and self-intersection number. Then, we study the image on a pair of pants of certain sets of complete geodesics, which have restrictions for how the self-intersection number of their subarcs grows with subarc length. We show that such sets have low Hausdorff dimension, and in some cases are nowhere dense.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Sapir, Jenya |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Mirzakhani, Maryam |
| Thesis advisor | Mirzakhani, Maryam |
| Thesis advisor | Church, Thomas (Thomas Franklin) |
| Thesis advisor | Kerckhoff, Steve |
| Thesis advisor | Yang, Tian, 1982- |
| Advisor | Church, Thomas (Thomas Franklin) |
| Advisor | Kerckhoff, Steve |
| Advisor | Yang, Tian, 1982- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Jenya Sapir. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Jenya Markovna Sapir
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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