Laura Demarco

activity

20042011

most citedThe boundary of the moduli space of quadratic rational maps

2 citations · 4 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.DS2011

The classification of polynomial basins of infinity

Laura DeMarco, Kevin Pilgrim

We consider the problem of classifying the dynamics of complex polynomials $f : C \to C$ restricted to their basins of infinity. We synthesize existing combinatori…

math.DS2009★ 1 cited

Enumerating the basins of infinity of cubic polynomials

Laura DeMarco, Aaron Schiff

We study the dynamics of cubic polynomials restricted to their basins of infinity, and we enumerate topological conjugacy classes with given combinatorics.

math.DS2006

Finiteness for degenerate polynomials

Laura DeMarco

Let $\MP_d$ denote the space of polynomials $f: \C \to \C$ of degree $d \geq 2$ , modulo conjugation by $\Aut(\C)$. Using properties of polynomial trees (as introduced in [DM, math.D…

math.DS2004★ 2 cited

The boundary of the moduli space of quadratic rational maps

Laura DeMarco

Let $M_{2}$ be the space of quadratic rational maps $f : P^{1} \to P^{1}$ , modulo the action by conjugation of the group of Möbius transformations. In this paper a compactificati…

math.DS2004★ 1 cited

Iteration at the boundary of the space of rational maps

Laura DeMarco

Let $R a t_{d}$ denote the space of holomorphic self-maps of $P^{1}$ of degree $d \geq 2$ , and $μ_{f}$ the measure of maximal entropy for $f \in R a t_{d}$ . The map of measures $f\mapstoμ_…