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A Prime Decomposition of Probabilistic Automata by Carlsson, Gunnar; Yu, Jun is a scholarly article available to read on EtoBox.

What is A Prime Decomposition of Probabilistic Automata about?

A definition of a probabilistic automaton is formulated in which its prime decomposition follows as a direct consequence of Krohn-Rhodes theorem. We first characterize the local structure of probabilistic automata. The prime decomposition is presented as a framework to study the global structure of probabilistic automata. We prove that the representation theory of a probabilistic automaton is determined by that of the finite groups in its holonomy decomposition.

Author

Carlsson, Gunnar; Yu, Jun

Published

2015

Language

EN