Combinatorics and topology of the shift locus
Laura DeMarco · Contemporary mathematics - American Mathematical Society · 2012
As studied by Blanchard, Devaney, and Keen in [ BDK ], closed loops in the shift locus (in the space of polynomials of degree d d ) induce automorphisms of the full one-sided d d -shift. In this article, I describe how to compute the induced automorphism from the pictograph of a polynomial (introduced in [ DP2 ] for twist-induced loops. This article is an expanded version of my lecture notes from the October 2010 conference in honor of Linda Keen’s birthday. Happy Birthday, Linda!