| Grant number: | 15/17909-7 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | December 14, 2015 |
| End date: | January 28, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Edson de Faria |
| Grantee: | Edson de Faria |
| Visiting researcher: | Peter Edward Hazard |
| Visiting researcher institution: | Uppsala University (UU), Sweden |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 11/16265-8 - Low dimensional dynamics, AP.TEM |
Abstract
The main goal of the visit is to finalize a research article being written by Dr. Hazard in collaboration with Edson de Faria and Charles Tresser, which deals with the so-called frontier of chaos in dimension two. More precisely, the above-mentioned researchers investigate the Katok problem of finding C¹ diffeomorphisms of surfaces that have positive entropy but no horseshoes. Besides this on-going project, other consequences will be explored during the visit. Morevoer, Dr. Hazard will present a mini-course on the renormalization of area-preserving diffeomorphisms. For more details, se the Work Plan attached to this proposal. (AU)
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