http://www.math.lsa.umich.edu/~spatzier/ralf-thesis.pdf WebFeb 17, 2012 · Download PDF Abstract: ... This will simplify the proof of a lemma in a work by G. Forni. W. A. Veech proved a bound on the number of distinct ergodic probability measures for a given minimal interval exchange transformation. We verify that this bound is sharp by construcing examples in each Rauzy Class.
A CRITERION FOR THE SIMPLICITY OF THE LYAPUNOV …
WebNov 24, 2024 · We study the SL(2, ℝ)-infimal lengths of simple closed curves on halftranslation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths.We also revisit the “no small virtual triangles” theorem of Smillie and Weiss and establish the following dichotomy: the virtual triangle area spectrum of a half … Webow, for example the Veech dichotomy and deviations of ergodic averages (Veech, Masur, Forni, Eskin-Kontsevich-Zorich) Counting problems (Veech, Eskin-Masur) Flat … lean 1 keto
431 c 2014 Department of Mathematics, Princeton University.
WebNov 24, 2024 · G. Forni and C. Matheus, Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and … WebVEECH: COUNTING WITH RATES Abstract. AcountingfunctionN(T,g)canbeapproximatedinbothparametersTandg.Wesurvey all … WebAbstract Interval exchange maps are related to geodesic flows on translation surfaces; they correspond to the first return maps of the vertical flow on a transverse segment. The Rauzy–Veech induction on the space of interval exchange maps provides a powerful tool to analyze the Teichmüller geodesic flow on the moduli space of Abelian differentials. … ftc300 messkonzept