We study the correspondence between unicritical laminations and maximally critical
laminations with rotational and identity return polygons. Laminations are a combinatorial …

Laminations are a combinatorial and topological way to study Julia sets. Laminations give
information about the structure of parameter space of degree $ d $ polynomials with …

The dynamics of polynomials is a topic of great interest for those studying complex
dynamics. Polynomial dynamics is concerned with how collections of points behave under …

Laminations are a combinatorial and topological model for studying the Julia sets of
complex polynomials. Every complex polynomial of degree d has d fixed points counted with …

Laminations are models for locally connected Julia sets of complex polynomials. This paper
is concerned with laminations associated with degree 3 polynomials. We introduce and …

The so-called “pinched disk” model of the Mandelbrot set is due to A. Douady, JH Hubbard
and WP Thurston. It can be described in the language of geodesic laminations. The …

Complex 1-variable polynomials with connected Julia sets and only repelling periodic points
are called dendritic. By results of Kiwi, any dendritic polynomial is semiconjugate to a …

We extend the definition of an orbit portrait to the context of non-autonomous iteration, both
for the combinatorial version involving collections of angles and for the dynamic version …

Thurston parameterized quadratic invariant laminations with a non-invariant lamination, the
quotient of which yields a combinatorial model for the Mandelbrot set. As a step toward …

Laminations are a topological and combinatorial way to represent connected Julia sets of
polynomials. A lamination is the boundary of the closed unit disk with a closed collection of …