Automata, Groups, Limit Spaces, and Tilings

Details Automata, Groups, Limit Spaces, and Tilings Automata, Groups, Limit Spaces, and Tilings

2004-12-19

arxiv.org/abs/math/0412373v2

J. Algebra 305 (2006), no. 2, 629--663

Mathematics

Group Theory

to appear in J. Algebra

Scientific paper

10.1016/j.jalgebra.2005.10.022

We explore the connections between automata, groups, limit spaces of self-similar actions, and tilings. In particular, we show how a group acting ``nicely'' on a tree gives rise to a self-covering of a topological groupoid, and how the group can be reconstructed from the groupoid and its covering. The connection is via finite-state automata. These define decomposition rules, or self-similar tilings, on leaves of the solenoid associated with the covering.

Affiliated with

Also associated with

No associations

Rating

Automata, Groups, Limit Spaces, and Tilings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Automata, Groups, Limit Spaces, and Tilings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automata, Groups, Limit Spaces, and Tilings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16882