Symbolic dynamics on free groups | Zendy

Steven Piantadosi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Symbolic dynamics on free groups

Author(s) -

Steven Piantadosi

Publication year - 2008

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2008.20.725

Subject(s) - fibonacci number , iterated function , mathematics , generalization , symbolic dynamics , combinatorics , entropy (arrow of time) , type (biology) , k nearest neighbors algorithm , discrete mathematics , pure mathematics , computer science , physics , mathematical analysis , artificial intelligence , ecology , quantum mechanics , biology

We study nearest-neighbor shifts of flnite type (NNSOFT) on a free group G. We determine when a NNSOFT on G admits a periodic coloring and give an example of a NNSOFT that does not allow a periodic coloring. Then, we flnd an expression for the entropy of the golden mean shift on G. In doing so, we study a new generalization of Fibonacci numbers and analyze their asymptotics with a one-dimensional iterated map that is related to generalized continued fractions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research