A compactification of the space of expanding maps on the circle
نویسنده
چکیده
We show the space of expanding Blaschke products on S is compactified by a sphere of invariant measures, reminiscent of the sphere of geodesic currents for a hyperbolic surface. More generally, we develop a dynamical compactification for the Teichmüller space of all measure-preserving topological covering maps of S.
منابع مشابه
Attitudes towards English Language Norms in the Expanding Circle: Development and Validation of a new Model and Questionnaire
This paper describes the development and validation of a new model and questionnaire to measure Iranian English as a foreign language learners’ attitudes towards the use of native versus non-native English language norms. Based on a comprehensive review of the related literature and interviews with domain experts, five factors were identified. A draft version of a questionnaire based on those f...
متن کاملDeveloping a Textbook Evaluation Scheme for the Expanding Circle
Among the four important factors in the educational contexts, namely, teachers, learners, textbooks and contexts, textbooks play an important role in English Language Teaching (ELT), particularly in the English as a Foreign Language (EFL) classroom where it provides the primary source of linguistic input. The wealth of published material for English language teaching (ELT) available in the mark...
متن کاملFilters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup
Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of ...
متن کاملEmbedding measure spaces
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification o...
متن کاملHuman Gait Control Using Functional Electrical Stimulation Based on Controlling the Shank Dynamics
Introduction: Efficient gait control using Functional Electrical Stimulation (FES) is an open research problem. In this research, a new intermittent controller has been designed to control the human shank movement dynamics during gait. Methods: In this approach, first, the three-dimensional phase space was constructed using the human shank movement data recorded from the healthy subjects. Then...
متن کامل