Edge operators.
Let be a complex one-dimensional torus. We prove that all subsets of with finitely many boundary components (none of them being points) embed properly into . We also show that the algebras of analytic functions on certain countably connected subsets of closed Riemann surfaces are doubly generated.
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
A unified introduction to the dynamics of interval exchange maps and related topics, such as the geometry of translation surfaces, renormalization operators, and Teichmüller flows, starting from the basic definitions and culminating with the proof that almost every interval exchange map is uniquely ergodic. Great emphasis is put on examples and geometric interpretations of the main ideas.