Logo image
Applications of Automata and Graphs: Labeling Operators in Hilbert Space II
Journal article   Open access   Peer reviewed

Applications of Automata and Graphs: Labeling Operators in Hilbert Space II

Ilwoo Cho and Palle E. T Jorgensen
Journal of Mathematical Physics, Vol.50(6), pp.063511-063511-42
06/19/2009
DOI: 10.1063/1.3141524
url
https://arxiv.org/pdf/0809.4625View
Open Access

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.

Details

Metrics

Logo image