Alden Walker

activity

20092026

most citedRoots, Schottky semigroups, and a proof of Bandt's Conjecture

14 citations · 41 across the 15 of their papers we have counts for

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Showing 2026Show all

2 papers · 1 filter

math.DS2026

Entropy and Translation Length in the Ray Graph

Juliette Bavard, Danny Calegari, Alden Walker

Let $Γ$ be the mapping class group of the plane minus a Cantor set, acting on the ray graph $R$ , and for $γ \in Γ$ let $τ (γ)$ denote the translation length of $γ$ on $\mat…

math.DS2026

Laminations and External Angles for Similarity Pairs

Danny Calegari, Alden Walker

A {\em similarity pair} is the dynamical system in $C$ generated by two maps $f : z \to sz - 1$ and $g : z \to sz + 1$ for $∣ s ∣ < 1$ . Associated to the dynamical system is an attrac…