Weak Markov processes as linear systems

@article{Gohm2015WeakMP,
  title={Weak Markov processes as linear systems},
  author={Rolf Gohm},
  journal={Mathematics of Control, Signals, and Systems},
  year={2015},
  volume={27},
  pages={375-413}
}
  • R. Gohm
  • Published 2 June 2012
  • Mathematics
  • Mathematics of Control, Signals, and Systems
A noncommutative Fornasini–Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter the resulting structure is worked out systematically and some quantum mechanical interpretations are given. We introduce subprocesses and quotient processes and then the notion of a $$\gamma $$γ-extension for processes which leads to a complete classification of all the ways in which processes can… 
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