Probabilistic and algebraic aspects of smooth dynamical systems
| Grant number: | 12/19995-0 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | January 15, 2013 |
| End date: | March 29, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Applied Mathematics |
| Principal Investigator: | Edson de Faria |
| Grantee: | Edson de Faria |
| Visiting researcher: | Charles Tresser |
| Visiting researcher institution: | IBM Thomas J. Watson Research Center, Yorktown Heights, United States |
| 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
During his visit to IME-USP, which will last for 75 days starting on January 15th, 2013, Prof. Charles Tresser and I will be doing research in several different fronts, namely: (i) Non-locality in Quantum Mechanics and the Bell inequalities (work in progress). (ii) The persistence problem of Sloane: application of circle map dynamics to a problem in Number Theory which is still open after 40 years (work in progress). (iii) Period-doubling and universality: expository article for Scholarpedia (work in progress). (iv) Smooth realizations (of class C^r) of infinitely renormalizable dynamical systems in low dimensions. (v) Convex dynamics in dimensions 2 and 3. In addition, Prof. Tresser will teach the following mini-courses at IME-USP: (I) Mathematics of convex dynamics and applications; (II) Fractalsas a category-dependent concept with a view on applications; (III) Some problems from the classical tradition of Applied Mathematics and Theoretical Physics. (AU)
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