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Mathematics

D-Index
35
Citations
6863
World Ranking
2731
National Ranking
23

Research.com Recognitions

  • 1993 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Marcelo Viana is affiliated with the Instituto Nacional de Matemática Pura e Aplicada in Brazil and has contributed to the field of Mathematics, with a focus on Mathematical Physics, Statistical and Nonlinear Physics, and Geometry and Topology. Their work primarily addresses topics in Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems, Advanced Differential Equations and Dynamical Systems, as well as some research related to Venous Thromboembolism Diagnosis and Management, Protein Structure and Dynamics, advanced mathematical theories, and Topological and Geometric Data Analysis.

Recent scholarly articles authored or co-authored by Marcelo Viana include:

  • Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves (2021) published in Ergodic Theory and Dynamical Systems
  • Maximal entropy measures of diffeomorphisms of circle fiber bundles (2020) published in Journal of the London Mathematical Society
  • Continuity of the Lyapunov exponents of random matrix products (2023) published in arXiv (Cornell University)
  • Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov (2023) published in Ergodic Theory and Dynamical Systems
  • Partially volume expanding diffeomorphisms (2020) published in Annales Henri Poincaré

Frequent co-authors working alongside Marcelo Viana include Jiagang Yang, Raúl Ures, Fan Yang, Sankhadip Chakraborty, and Emanuella Arruda do Rêgo Nóbrega.

The scientist's work has been published across various academic venues, with multiple contributions to arXiv (Cornell University), Ergodic Theory and Dynamical Systems, Brazilian Journal of Health Review, Hematology Transfusion and Cell Therapy, and the Journal of the London Mathematical Society.

Marcelo Viana has also published a book titled Differential Equations in 2021 through the American Mathematical Society.

An award received by Marcelo Viana includes the Fellow of John Simon Guggenheim Memorial Foundation in 1993.

Best Publications

  • SRB measures for partially hyperbolic systems whose central direction is mostly expanding

    José F. Alves;Christian Bonatti;Marcelo Viana

  • Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

    Christian Bonatti;Lorenzo J. Díaz;Marcelo Viana

  • Abundance of strange attractors

    Leonardo Mora;Marcelo Viana

  • Lectures on Lyapunov Exponents

    Marcelo Viana

  • Foundations of Ergodic Theory

    Marcelo Viana;Krerley Oliveira

  • What’s new on lorenz strange attractors?

    Marcelo Viana

  • High dimension diffeomorphisms displaying infinitely many periodic attractors

    Jacob Palis;Marcelo Viana

  • The Lyapunov exponents of generic volume-preserving and symplectic maps

    Jairo Bochi;Marcelo Viana

  • Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture

    Artur Avila;Marcelo Viana

  • Ergodic Theory of Interval Exchange Maps

    Marcelo Viana

  • Multidimensional nonhyperbolic attractors

    Marcelo Viana

  • Extremal Lyapunov exponents: an invariance principle and applications

    Artur Avila;Artur Avila;Marcelo Viana

  • Singular-hyperbolic attractors are chaotic

    Vitor Araujo;Maria Jose Pacifico;Enrique Pujals;Marcelo Viana

  • Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

    Marcelo Viana

  • Lyapunov exponents with multiplicity 1 for deterministic products of matrices

    C. Bonatti;M. Viana

  • Statistical stability for robust classes of maps with non-uniform expansion

    José F. Alves;Marcelo Viana

  • Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices

    Christian Bonatti;Xavier Gómez-Mont;Marcelo Viana

  • Strong stochastic stability and rate of mixing for unimodal maps

    Viviane Baladi;Marcelo Viana

  • Graphene oxide in the remediation of norfloxacin from aqueous matrix: simultaneous adsorption and degradation process

    Victor Rezende Moreira;Yuri Abner Rocha Lebron;Marielle Mara da Silva;Lucilaine Valéria de Souza Santos;Lucilaine Valéria de Souza Santos

  • Strange attractors in higher dimensions

    Marcelo Viana

  • Lorenz attractors with arbitrary expanding dimension

    C. Bonatti;A. Pumarino;M. Viana

Frequent Co-Authors

Christian Bonatti
Christian Bonatti University of Burgundy
Artur Avila
Artur Avila University of Zurich
Viviane Baladi
Viviane Baladi Centre national de la recherche scientifique, CNRS

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