Eigenvalues of morphic subshifts
Project description
Eigenvalues of morphic subshifts.
This is a Sage optional package. It contains code to compute exact additive eigenvalues of morphic subshifts, that is a substitution subshift or the subshift generated by its image by another substitution.
Installation:
sage -pip install eigenmorphic
Usage:
sage: from eigenmorphic import *
After this command, you can play with free groups and their automorphisms:
sage: s = WordMorphism("a->ab,b->ac,c->a") sage: morphic_eigenvalues(s) Z*{1, b, b^2} where b is root of x^3 - x^2 - x - 1 sage: t = WordMorphism('a->0,b->1,c->1') sage: morphic_eigenvalues(s, t) Z*{1, b, b^2} where b is root of x^3 - x^2 - x - 1
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