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Explore the fascinating world of Lorenz attractors in this 52-minute lecture by Maria José Pacifico from the Universidade Federal do Rio de Janeiro. Delve into the history and significance of Lorenz attractors since their discovery in 1963, examining their central role in singular flow research. Gain insights into both classic and contemporary findings that describe the dynamics of these attractors from topological and ergodic perspectives. Learn about Pacifico's latest research, which establishes the existence of a unique equilibrium state and measure of maximal entropy for a C^1-open and dense family of vector fields, including the classical Lorenz attractor. Discover how this groundbreaking work, conducted in collaboration with Fan Yang and Jiagang Yang, contributes to the ongoing study of singular flows and their properties.
