Marcelo Viana is a renowned mathematician whose work centers on the theory of dynamical systems and the mathematical underpinnings of chaos. His research delves into the complexities of chaotic systems, exploring the properties of strange attractors and their geometric and statistical dimensions. Viana also investigates bifurcation theory and fractal dimensions, contributing to our understanding of intricate dynamic phenomena. His extensive publications and invitations to speak at prestigious international congresses underscore his significant impact on the mathematical field.
Rooted in the qualitative theory of differential equations and the kinetic theory of gases, this work explores dynamical systems and twin field ergodic theory. It highlights the contributions of mathematician Henri Poincaré and physicists James Clerk Maxwell and Ludwig Boltzmann, focusing on their methods to model, explain, and predict the behavior of both natural and artificial phenomena over time.