Higher-Order Circuit Processes
Higher-order circuit processes are homogeneous discrete parameter Markov processes with either at most a countable set of states or an arbitrary set of states, where the length of the past in the Markovian dependence is extended from 1 to m > 1, and the transition law can be decomposed by a collection of geometrical elements, the “circuits”, into certain positive weights.
KeywordsMarkov Chain Elementary Circuit Balance Property Stationary Markov Chain Reversed Circuit
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