Differential topology and topological methods for the study of differential equati...
Random compositions of $T^2$ homeomorphisms and rotation sets
Theoretical and computational studies of the least square method and its variations
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Author(s): |
Nelson Orsalino Neto Schuback
Total Authors: 1
|
Document type: | Master's Dissertation |
Press: | São Paulo. |
Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
Defense date: | 2021-09-15 |
Examining board members: |
Salvador Addas Zanata;
Bráulio Augusto Garcia;
Xiaochuan Liu
|
Advisor: | Salvador Addas Zanata |
Abstract | |
In this work we present the fundamentals of Classical Brouwer Theory. We start with the works of L. E. J. Brouwer on translation arcs and the Brouwer translation theo- rem. Next, we explore the notion of maximal free brick decompositions developed by A. Sauzet. Finally, we conclude by presenting a proof of the foliated version of the Brouwer translation theorem, due to P. Le Calvez. (AU) | |
FAPESP's process: | 19/14780-4 - Annulus diffeomorphisms dynamics |
Grantee: | Nelson Orsalino Neto Schuback |
Support Opportunities: | Scholarships in Brazil - Master |