Mathematician · Researcher · Educator

Vanessa
Barros

Professor at the Federal University of Bahia, working on Nonlinear PDEs, Dynamical Systems, and Statistical Data Analysis.

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Vanessa Barros
01

About Me

Teacher

Since 2010, I have been teaching a broad range of courses for students from different backgrounds — mathematics, statistics, informatics, engineering, physics — both in Brazil and in France.

Researcher

I am a professor in the Department of Mathematics at the Federal University of Bahia (UFBA). My background is in dispersive partial differential equations, but my current research focuses mainly on dynamical systems and applied statistics. In pure mathematics, I study statistical properties of dynamical systems, including invariant measures, fractal dimensions, and the asymptotic behavior of orbits.

In parallel, I work on statistical modeling of correlated data, with emphasis on multivariate regression models for binary and proportional data. More recently, I have expanded my interests to machine learning and time series forecasting, exploring applications in jurimetrics, health, and environmental data.

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Publications

  1. 14
    Shortest distance between observed orbits in distinct dynamical systems
    V. Barros & A. Coutinho — Chaos, Solitons & Fractals 206 (2026) PDF
  2. 12
    Bivariate Simplex Distribution
    E. Amaral, L. S. Vieira, V. Barros, L. C. Fabio & J. M. F. Carrasco — Revista Colombiana de Estadística 49 (2026) PDF
  3. 13
    Bivariate Simplex regression model for rates and proportions data
    L. S. Vieira, E. Amaral, L. C. Fabio, V. Barros & J. M. F. Carrasco — Communications in Statistics – Theory and Methods (2025) PDF
  4. 11
    Impact of Doxycycline addition on activated sludge microflora and microbial communities
    H. Djelal, D. Haddouche, M. Lebreton, V. Barros, C. Villegas & P. Dabert — Processes 12 (2024) PDF
  5. 10
    On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity
    V. Barros, S. Correia & F. Oliveira — Differential and Integral Equations 35 (2022), no. 7–8, 371–392 PDF
  6. 09
    Shortest distance between multiple orbits and generalized fractal dimensions
    V. Barros & J. Rousseau — Annales Henri Poincaré 22 (2021), no. 6, 1853–1885 PDF
  7. 08
    Energy decay of solutions for a wave equation with a non-constant weak delay
    V. Barros, C. A. Nonato & C. A. Raposo — Electronic Research Archive 28(1) (2020), 205–220 PDF
  8. 07
    On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz space
    V. Barros, L. C. F. Ferreira & A. Pastor — Nonlinear Differential Equations and Applications 26 (2019) PDF
  9. 06
    On the shortest distance between orbits and the longest common substring problem
    V. Barros, L. Liao & J. Rousseau — Advances in Mathematics 344 (2019), 311–339 PDF
  10. 05
    Local well posedness for the nonlocal derivative Schrödinger equation in Besov Spaces
    V. Barros, R. Moura & G. Santos — Journal of Nonlinear Analysis 187 (2019), 320–338 PDF
  11. 04
    Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition
    C. A. Raposo, H. Nguyen, J. O. Ribeiro & V. Barros — Electronic Journal of Differential Equations (2017), No. 279, 1–11 PDF
  12. 03
    A remark on the well-posedness of the degenerated Zakharov system
    V. Barros & F. Linares — Communications on Pure and Applied Analysis 14 (2015), no. 4, 1259–1274 PDF
  13. 02
    Infinite energy solutions for Schrödinger-type equations with a nonlocal term
    V. Barros & A. Pastor — Advances in Differential Equations 18 (2013), no. 7–8, 769–796 PDF
  14. 01
    The Davey-Stewartson system in weak L^p spaces
    V. Barros — Differential and Integral Equations 25 (2012), no. 9–10, 883–898 PDF

Preprints

  1. —
    Marginal multivariate approach: A novel strategy for handling correlated binary outcomes
    L. F. Castilho, V. Barros, C. Villegas & J. Carrasco Submitted 2025
  2. —
    Brazilian household debt analysis: Spatial and temporal regional trends
    M. Andreina, V. Barros & P. Canas Submitted 2025
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Curriculum Vitae

Education

2006
PhD in Mathematics
Instituto de Matemática Pura e Aplicada — IMPA, Brazil
2006
Master's in Mathematics
IMPA, Brazil
2003
Bachelor's in Mathematics
Federal University of Bahia — UFBa, Brazil

Languages

PortugueseNative
EnglishFluent
FrenchFluent
SpanishFluent

Academic Positions

2011 – present
Assistant Professor of Mathematics
Federal University of Bahia, Brazil
2021 – 2022
Teacher of Mathematics
AFTEC, Rennes, France
2020 – 2021
Assistant Professor of Mathematics
Unilasalle, Rennes, France
2019 – 2020
Researcher
Centre of Mathematics, University of Porto, Portugal
2010 – 2011
Postdoctoral Research Fellow
Federal University of Alagoas, Brazil

Computer Skills

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