CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Associate Professor at IMECC-UNICAMP. Undergraduated from UNICAMP and he has a master and PhD degree from IMPA. He has been a post-doc at ICMC-USP and University of Chicago. His main research area is Dynamical Systems and Ergodic Theory. (Source: Lattes Curriculum)
This project studies the disintegration of invariant measures for a given dynamical system. In general disintegration is associated mainly with objects invariant to dynamics, such as stable, unstable or central foliations. One of the main objectives is to understand how this relationship between dynamics and disintegration happens. Another objective is to analyze the most general conditio…
This project is an introduction to Dynamic Systems via the study of some models and fundamental phenomena. The models chosen are the rotations in the circle, expanding endomorphism’s in the circle, symbolic dynamics and equidistributional of the orbits of irrational rotation. Beyond of an introduction to dynamic systems this undergraduate research project serves as a training for the stud…
This master's project aims to study transverse measures invariant by a dynamically defined foliation. The richness of the subject lies in the mixture of diverse areas of mathematics. The purpose is to prove the unique ergodicity of the stable or unstable foliation defined by an Anosov diffeomorphism. (AU)
This project is an introduction to ergodic theory. The student will study Poincare's recurrence theorem, give applications of the ergodic theorem, besides proving the ergodicity of certain dynamical systems models. (AU)
(Only some records are available in English at this moment)
We use new approaches and tools to better analyze the developments of some already obtained results related to rigidity of a partially hyperbolic diffeomorphism. These results, briefly, are examples of volume preserving Anosov on the three-dimensional torus such that the disintegration of volume on the center leaves is neither atomic nor Lebesgue; and examples of partially hyperbolic diff…
| 1 / 1 | Completed research grants |
| 8 / 8 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 10 / 10 | All research grants and scholarships |
| Associated processes | |
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 5 |
| Citations | 16 |
| Cit./Article | 3.2 |
| Data from Web of Science | |
VARAO, REGIS. Center foliation: absolute continuity, disintegration and rigidity. Ergodic Theory and Dynamical Systems, v. 36, n. 1, p. 256-275, FEB 2016. Web of Science Citations: 7. (11/21214-3, 12/06553-9)
PONCE, G.; TAHZIBI, A.; VARAO, R.. On the Bernoulli property for certain partially hyperbolic diffeomorphisms. ADVANCES IN MATHEMATICS, v. 329, p. 329-360, APR 30 2018. Web of Science Citations: 1. (15/02731-8, 16/22475-9, 16/05384-0, 11/21214-3, 14/23485-2, 12/14620-8, 17/06463-3, 09/16792-8)
NOVAES, DOUGLAS D.; VARAO, REGIS. A note on invariant measures for Filippov systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 167, MAR 2021. Web of Science Citations: 0. (18/13481-0, 16/22475-9, 17/06463-3)
PONCE, GABRIEL; TAHZIBI, ALI; VARAO, REGIS. MINIMAL YET MEASURABLE FOLIATIONS. JOURNAL OF MODERN DYNAMICS, v. 8, n. 1, p. 93-107, MAR 2014. Web of Science Citations: 8. (11/21214-3, 12/06553-9, 12/14620-8, 09/16792-8)
VARAO, R.. Lyapunov exponents and smooth invariant foliations for partially hyperbolic diffeomorphisms on. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 30, n. 2, p. 189-199, APR 3 2015. Web of Science Citations: 0. (12/06553-9, 11/21214-3)