Defines occupation ideals from Parikh monomials of trajectories in directed support graphs of Markov chains to encode distinct occupation patterns and separate reachability, trajectory, and occupation-pattern growth.
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An algorithm computes the bandwidth of normal timed automata by reducing the problem to finding the maximum reward-to-cost ratio in a weighted finite graph built from the automaton.
Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.
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Occupation Ideals and Parikh Images in Markov Support Dynamics
Defines occupation ideals from Parikh monomials of trajectories in directed support graphs of Markov chains to encode distinct occupation patterns and separate reachability, trajectory, and occupation-pattern growth.