What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Topology
- Geometry
His scientific interests lie mostly in Mathematical analysis, Lyapunov exponent, Pure mathematics, Attractor and Diffeomorphism.
His study of Ergodic theory is a part of Mathematical analysis.
In Lyapunov exponent, Marcelo Viana works on issues like Subbundle, which are connected to Zero.
His Pure mathematics study typically links adjacent topics like Translation surface.
His Attractor research includes elements of Lebesgue measure, Measure and Mathematical physics.
His Diffeomorphism research integrates issues from Bundle, Almost everywhere, Number theory and Symplectic geometry.
His most cited work include:
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding (343 citations)
- Abundance of strange attractors (316 citations)
- Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective (312 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Mathematical analysis, Lyapunov exponent, Ergodic theory and Measure.
Marcelo Viana has researched Pure mathematics in several fields, including Uniqueness and Algebra.
His Mathematical analysis study combines topics in areas such as Statistical physics and Invariant.
As a part of the same scientific study, Marcelo Viana usually deals with the Lyapunov exponent, concentrating on Bounded function and frequently concerns with Zero and Iterated function.
His study in Ergodic theory is interdisciplinary in nature, drawing from both Hölder condition, Discrete mathematics, Lebesgue integration, Ergodic Ramsey theory and Invariant measure.
His Measure research focuses on Manifold and how it relates to Dynamical system.
He most often published in these fields:
- Pure mathematics (46.09%)
- Mathematical analysis (40.87%)
- Lyapunov exponent (30.43%)
What were the highlights of his more recent work (between 2012-2021)?
- Pure mathematics (46.09%)
- Ergodic theory (29.57%)
- Lyapunov exponent (30.43%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Pure mathematics, Ergodic theory, Lyapunov exponent, Mathematical analysis and Measure.
His work on Diffeomorphism and Hölder condition as part of general Pure mathematics research is frequently linked to Foliation, bridging the gap between disciplines.
His Ergodic theory research incorporates themes from Discrete mathematics, Lebesgue integration, Ergodic Ramsey theory, σ-finite measure and Radon–Nikodym theorem.
His work on Lyapunov equation as part of general Lyapunov exponent study is frequently connected to Moduli, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
Marcelo Viana has included themes like Statistical physics, Invariant and Invariant in his Mathematical analysis study.
His Measure research is multidisciplinary, relying on both Collapse, Structure, Matrix, Center and Skeleton.
Between 2012 and 2021, his most popular works were:
- Lectures on Lyapunov Exponents (104 citations)
- Foundations of Ergodic Theory (62 citations)
- The entropy conjecture for diffeomorphisms away from tangencies (49 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Pure mathematics
- Topology
The scientist’s investigation covers issues in Lyapunov exponent, Pure mathematics, Mathematical analysis, Ergodic theory and Absolute continuity.
His research in Lyapunov exponent intersects with topics in Invariant probability measure and Applied mathematics.
Marcelo Viana interconnects Zero, Measure, Bounded function and Constant in the investigation of issues within Pure mathematics.
His studies in Mathematical analysis integrate themes in fields like Stationary ergodic process and Invariant measure.
Marcelo Viana has included themes like Multiplicative function, Stationary measures, Ergodic Ramsey theory and Invariant in his Ergodic theory study.
His work carried out in the field of Absolute continuity brings together such families of science as Geodesic flow, Lebesgue integration and Dense set.
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