76 citations · 79 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
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…
A compactification of Henon mappings in C^2 as dynamical systems
John Hubbard, Peter Papadopol, Vladimir Veselov
In \cite {HO1}, it was shown that there is a topology on $\C^2\sqcup S^3$ homeomorphic to a 4-ball such that the Hénon mapping extends continuously. That paper used a delicate anal…
Henon mappings in the complex domain II: projective and inductive limits of polynomials
John Hubbard, Ralph W. Oberste-Vorth
Let H: C^2 -> C^2 be the Henon mapping given by (x,y) --> (p(x) - ay,x). The key invariant subsets are K_+/-, the sets of points with bounded forward images, J_+/- = the boundary o…