9 citations · 17 across the 9 of their papers we have counts for
10 papers
Counting Rotational Sets for Laminations of the Unit Disk from First Principles
John C. Mayer, Michael J. Moorman, Gabriel B. Quijano +1
By studying laminations of the unit disk, we can gain insight into the structure of Julia sets of polynomials and their dynamics in the complex plane. The polynomials of a given de…
Fixed Flowers
Md Abdul Aziz, Brittany Burdette, John Mayer
Laminations are a combinatorial and topological way to study Julia sets. Laminations give information about the structure of parameter space of degree polynomials with connecte…
Unicritical and Maximally Critical Laminations
Brittany Burdette, Caleb Falcione, Cameron Hale +1
We study the correspondence between unicritical laminations and maximally critical laminations with rotational and identity return polygons. Laminations are a combinatorial and top…
Central Strips of Sibling Leaves in Laminations of the Unit Disk
David J. Cosper, Jeffrey K. Houghton, John C. Mayer +2
Quadratic laminations of the unit disk were introduced by Thurston as a vehicle for understanding the (connected) Julia sets of quadratic polynomials and the parameter space of qua…
Fixed point theorems in plane continua with applications
Alexander M. Blokh, Robbert J. Fokkink, John C. Mayer +2
We present proofs of basic results, including those developed by Harold Bell, for the plane fixed point problem: does every map of a non-separating plane continuum have a fixed poi…
Buried Points in Julia Sets
Clinton P. Curry, John C. Mayer
We give an introduction to buried points in Julia sets and a list of questions about buried points, written to encourage aficionados of topology and dynamics to work on these quest…