北京雁栖湖应用数学研究院

This course explores the statistical and ergodic properties of hyperbolic dynamical systems through the framework of equilibrium states, a fundamental concept in modern smooth ergodic theory. Building on Rufus Bowen's seminal monograph, the course systematically develops the thermodynamic formalism for Anosov systems, establishing connections between dynamical invariants, ergodic theory, and statistical mechanics.