Equidistribution of
Horocyclic Flows on Complete Hyperbolic Surfaces of Finite Area (with John
H. Hubbard),
In the Tradition of Ahlfors-Bers V., Contemp. Math., vol. 510, A.M.S.,
Providence, RI, 2010, pp. 129-150
Very rough Note on Symbolic Dynamics of Billiard Trajectories on Double Regular Odd-gons. (Refers to ideas, figures and definitions from Smillie and Ulcigrai's paper dealing in detail with this problem on the regular octagon, and more sketchily for general regular 2n-gons)
Masur's Theorem on Recurrent Quadratic Differentials
Coming Soon...
More Introductory Material about Flows on Translation Surfaces
and Dynamics in Moduli Spaces of Quadratic Differentials:
Guide to Notation
Preliminaries on Translation Surfaces, their Moduli Spaces and Interval Exchange Maps
No Saddle-Connections Implies Minimality
Saddle-Connection Directions are Dense in S1
Saddle-Connection Holonomy Vectors are Discrete in 2
Stablizer of a Translation Surface is Discrete in SL2()
Stabilizer is Never Co-compact
The Veech Dichotomy
Smillie's "Closed Orbit" Characterization of Lattice Surfaces
No-Small Triangles and No Small Virtual Triangles Characterizations of Lattice Surfaces
Uniform Complete Periodicity and Uniform Complete Parabolicity Characterizations of Lattice Surface
(and more....)
Bibliography