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Survey on a theory of non-commutative stationary markov processes

Part of the Lecture Notes in Mathematics book series (LNM,volume 1303)

Abstract

Dilations are discussed from the point of view of a theory of non-commutative stationary Markov processes. We show that a theory of stationary Markov processes can be formulated in terms of certain dilations, and we put various results on dilations into the systematic context of such a theory. Finally, we discuss a class of non-commutative Poisson processes.

Keywords

  • Markov Process
  • Poisson Process
  • Conditional Expectation
  • Discrete Dynamical System
  • Semi Group

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This paper is part of a research project which is supported by the Deutsche Forschungsgemeinschaft.

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Kümmerer, B. (1988). Survey on a theory of non-commutative stationary markov processes. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications III. Lecture Notes in Mathematics, vol 1303. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078061

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  • DOI: https://doi.org/10.1007/BFb0078061

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