76 citations · 79 across the 10 of their papers we have counts for
10 papers
An Elementary Proof of Poincaré's Last Geometric Theorem
Andrew J. Graven, John H. Hubbard
It is shown that the Poincaré-Birkhoff fixed point theorem may be proven by extending the geometric approach originally devised by Henri Poincaré himself, along with several result…
Degree-d-invariant laminations
William P. Thurston, Hyungryul Baik, Yan Gao +4
Degree--invariant laminations of the disk model the dynamical action of a degree- polynomial; such a lamination defines an equivalence relation on that corresponds to d…
Creating pseudo-Anosov Maps from Permutations and Matrices
John H. Hubbard, Ahmad Rafiqi, Tom Schang
We provide an integral combinatorial characterization of pseudo-Anosov maps on closed oriented surfaces of genus g > 1. We show that an orientation-preserving pseudo-Anosov homeomo…
An analytic construction of the Deligne-Mumford compactification of the moduli space of curves
John H. Hubbard, Sarah Koch
In 1969, P. Deligne and D. Mumford compactified the moduli space of curves. Their compactification is a projective algebraic variety, and as such, it has an underlying analytic str…
Multicorns are not Path Connected
John Hubbard, Dierk Schleicher
The "multicorn" is the connectedness locus of unicritical antiholomorphic polynomials ; the special case was named "tricorn" by Milnor. It appears as…
Equidistribution of Horocyclic Flows on Complete Hyperbolic Surfaces of Finite Area
John H. Hubbard, Robyn L. Miller
We provide a self-contained, accessible introduction to Ratner's Equidistribution Theorem in the special case of horocyclic flow on a complete hyperbolic surface of finite area. Th…