70 citations · 480 across the 69 of their papers we have counts for
17 papers · 1 filter
Entropy and Translation Length in the Ray Graph
Juliette Bavard, Danny Calegari, Alden Walker
Let be the mapping class group of the plane minus a Cantor set, acting on the ray graph , and for let denote the translation length of on $\mat…
Laminations and External Angles for Similarity Pairs
Danny Calegari, Alden Walker
A {\em similarity pair} is the dynamical system in generated by two maps and for . Associated to the dynamical system is an attrac…
Quasimorphisms and Pseudo-Anosov flows
Danny Calegari, Jonathan Zung
We describe two connections between the theory of quasimorphisms and pseudo-Anosov flows without perfect fits on closed hyperbolic 3-manifolds. First we show that for every such fl…
Wiggle Island
Danny Calegari
A wiggle is an embedded curve in the plane that is the attractor of an iterated function system associated to a complex parameter z. We show the space of wiggles is disconnected --…
Surgery sequences and self-similarity of the Mandelbrot set
Danny Calegari
We introduce an analog in the context of rational maps of the idea of hyperbolic Dehn surgery from the theory of Kleinian groups. A surgery sequence is a sequence of postcritically…
Sausages
Danny Calegari
The shift locus is the space of normalized polynomials in one complex variable for which every critical point is in the attracting basin of infinity. The method of sausages gives a…