Topological methods in surface dynamics: from the Hénon family to torus rotation sets
Advanced search
Inexistence of sublinear diffusion for a class of torus homeomorphisms
Full text
| |
| Author(s): |
Guilherme Silva Salomão
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2019-01-30 |
| Examining board members: |
Fabio Armando Tal;
Alejandro Kocsard;
Andrés Koropecki;
Alejandro Miguel Passeggi Diaz Robles;
Salvador Addas Zanata
|
| Advisor: | Fabio Armando Tal |
| Abstract | |
In the present work we will prove, using the Brouwer-Le Calvez foliation and the forcing theory derived from it, that given a torus homeomorphism f isotopopic to the identity such that its rotation set is a line segment with irrational slope and 0 is an extreme point, then f does not have sublinear diffusion in the direction perpendicular to the direction of the rotation set. (AU) | |
| FAPESP's process: | 13/01232-2 - Rotation set for torus homeomorphisms |
| Grantee: | Guilherme Silva Salomão |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |