4 citations · 7 across the 3 of their papers we have counts for
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math.DS2009
On Yoccoz Return Functions
Nathaniel D. Emerson
We study the dynamics of complex polynomials. We obtain results on Poincare return maps defined on certain neighborhoods of a point with bounded orbit under a polynomial. We introd…
math.DS2006★ 4 cited
Brownian motion, random walks on trees, and harmonic measure on polynomial Julia sets
Nathaniel D. Emerson
We consider the harmonic measure on a disconnected polynomial Julia set in terms of Brownian motion. We show that the harmonic measure of any connected component of such a Julia se…
math.DS2004
Return times of polynomials as meta-Fibonacci numbers
Nathaniel D. Emerson
We consider generalized closest return times of a complex polynomial of degree at least two. Most previous studies on this subject have focused on the properties of polynomials wit…