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math.FA2021
Positivity and polynomial decay of energies for square-field operators
Artur Stephan, Holger Stephan
We show that for a general Markov generator the associated square-field (or carré du champs) operator and all their iterations are positive. The proof is based on an interpolation…
math.PR2021
Coarse-graining and reconstruction for Markov matrices
Artur Stephan
We present a coarse-graining (or model order reduction) procedure for stochastic matrices by clustering. The method is consistent with the natural structure of Markov theory, prese…