Journal ArticleDOI
Interval Exchange Transformations and Measured Foliations
Reads0
Chats0
About:
This article is published in Annals of Mathematics.The article was published on 1982-01-01. It has received 851 citations till now. The article focuses on the topics: Interval exchange transformation & Interval (graph theory).read more
Citations
More filters
Journal ArticleDOI
Asymptoticity of grafting and Teichmüller rays
TL;DR: In this paper, it was shown that any grafting ray in Teichmuller space is (strongly) asymptotic to some geodesic ray in terms of its limiting surface.
Posted Content
Tau-functions on spaces of holomorphic differentials over Riemann surfaces and determinants of Laplacians in flat metrics with conic singularities
Alexey Kokotov,Dmitry Korotkin +1 more
TL;DR: In this article, the authors obtained an explicit holomorphic factorization formula for the determinant of the Laplacian in flat conical metrics with trivial holonomy, generalizing the classical Ray-Singer result.
Conformal dynamics at infinity for groups with contracting elements
TL;DR: In this article , a theory of conformal density at infinity for groups with contracting elements is developed, which is based on the Hopf-Tsuji-Sullivan theorem and the Sullivan shadow lemma.
Posted Content
Every transformation is disjoint from almost every IET
TL;DR: In this paper, it was shown that every transformation is disjoint from almost every interval exchange transformation (IET), answering a question of Bufetov, and that the product of almost every pair of IETs is uniquely ergodic.
Posted Content
Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
Artur Avila,Maria Joao Resende +1 more
TL;DR: In this paper, the authors considered the Teichmuller flow on the unit cotangent bundle of the moduli space of compact Riemann surfaces with punctures.
References
More filters
Journal ArticleDOI
Gauss measures for transformations on the space of interval exchange maps
Journal ArticleDOI
Quadratic differentials and foliations
John H. Hubbard,Howard Masur +1 more
TL;DR: In this paper, it was shown that the space of measured foliations with the quadratic forms on a fixed Riemann surface is homeomorphic to a sphere, and that the existence of projective classes of foliations is also homeomorphic.