Marcelo Viana - Selected Works

Dynamical systemsand the twin field ergodic theory have their roots in the qualitativetheory ofdifferential equations, developed by the great mathematician Henri Poincaré, and in the kinetic theory of gases built in mathematical terms byphysicists James Clerk Maxwell and Ludwig Boltzmann.Together, they aim to model, explain and predict the behavior of natural and artificialphenomena which evolve in time.For more than three decades, Marcelo Viana has been making several outstanding contributions to this area of mathematics.This volume contains a selection of his research papers, covering a wide range of topics:rigorous theory of strange attractors, physical measures, bifurcation theory, homoclinic phenomena, fractal dimensions, partial hyperbolicity,thermodynamicformalism, non-uniform hyperbolicity, interval exchange mapsTeichmüller flows, and the modern theory of Lyapunov exponents. Marcelo Viana, a world leader in this field, has been the object of several academic distinctions, such asthe inaugural Ramanujan prize of the International Centre for Theoretical Physics, and the Louis D. Scientific Grand Prix of the Institut de France. He is also recognized for his broad contribution to the mathematical community, in his country and region as well as in the international arena.