The fields of thermodynamic formalism and ergodic theory provide a rigorous mathematical framework for understanding complex dynamical systems by recasting ideas from statistical mechanics in a ...

The Abel Prize, organized by the Norwegian Academy of Science and Letters, is the world's highest honor in mathematics. It was established in memory of Norwegian mathematician Niels Henrik Abel and ...

Composition operators, defined by the mapping f ↦ f ∘ φ where φ is a suitable self-map, constitute a vital class of operators in functional analysis. Their study using ergodic theory has shed light on ...

Hanfeng Li has co-authored a new book with David Kerr, entitled, Ergodic Theory: Independence and Dichotomies. The book provides an introduction to the ergodic theory and topological dynamics of ...