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
Posted Content
Suspension Flows over Vershik's Automorphisms
TL;DR: In this paper, the authors obtained an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus and gave a limit theorem for these flows.
Posted Content
Word length statistics for Teichm\"uller geodesics and singularity of harmonic measure
TL;DR: In this paper, the authors consider the problem of choosing a geodesic ray from a set of points on the Thurston boundary of Teichmueller space to join some basepoint to a randomly chosen point on the boundary.
Journal ArticleDOI
Lattice Point Asymptotics and Volume Growth on Teichmuller space
TL;DR: In this article, the authors apply some of the ideas of the Ph.D. Thesis of G. A. Margulis to Teichmuller space, and obtain asymptotic formulas as R tends to infinity for the volume of B_R(x), and also for for the cardinality of the intersection of B ǫ(x) with an orbit of the mapping class group.
Journal ArticleDOI
Cone exchange transformations and boundedness of orbits
Peter Ashwin,Arek Goetz +1 more
TL;DR: In this paper, the authors introduce a class of two-dimensional piecewise isometries on the plane that they refer to as cone exchange transformations (CETs), which are generalizations of interval exchange transformation (IETs) to 2D unbounded domains.
Journal ArticleDOI
A characterization of biholomorphic automorphisms of Teichmüller space
Ryosuke Mineyama,Hideki Miyachi +1 more
TL;DR: In this paper, an alternative approach to Royden-Earle-Kra-Markovic's characterization of biholomorphic automorphisms of Teichmuller space of Riemann surface of analytically finite type is presented.
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.