Applications of Automata and Graphs: Labeling Operators in Hilbert Space II
arXiv:0809.4625 · doi:10.1063/1.3141524
Abstract
We introduced a family of infinite graphs directly associated with a class of von Neumann automaton model A_{G}. These are finite state models used in symbolic dynamics: stimuli models and in control theory. In the context of groupoid von Neumann algebras, and an associated fractal group, we prove a classification theorem for representations of automata.
61 pages
References in corpus (8)
- Bell Inequalities for Graph States
- Iterated function systems, Ruelle operators, and invariant projective measures
- Ideal Structure in Free Semigroupoid Algebras from Directed Graphs
- Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms
- A trace on fractal graphs and the Ihara zeta function
- Growth of the asymptotic dimension function for groups
- A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms
- Nonstandard analysis, fractal properties and Brownian motion