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Age and Time Operator of Evolutionary Processes

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Quantum Interaction (QI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9535))

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Abstract

The Time Operator and Internal Age are intrinsic features of Entropy producing Innovation Processes. The innovation spaces at each stage are the eigenspaces of the Time Operator. The internal Age is the average innovation time, analogous to lifetime computation. Time Operators were originally introduced for Quantum Systems and highly unstable Dynamical Systems. The goal of this work is to present recent extensions of Time Operator theory to regular Markov Chains and Networks in a unified way and to illustrate the Non-Commutativity of Net Operations like Selection and Filtering in the context of Knowledge Networks.

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Acknowledgements

The present work has benefitted from the highly interactive and at the same time relaxed atmosphere which emerged during the Quantum Interaction Conference. Special thanks to H. Atmanspacher and T. Filk who catalyzed the event, for fruitful discussions and for supporting our contribution. We acknowledge the Aristotle University of Thessaloniki and especially the Research Committee for supporting one of us (IG) and the Faculty of Sciences.

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Authors and Affiliations

  1. School of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Ioannis Antoniou, Ilias Gialampoukidis & E. Ioannidis

  2. Information Technologies Institute, Centre for Research and Technology Hellas, Thermi, 57001, Thessaloniki, Greece

    Ilias Gialampoukidis

Authors
  1. Ioannis Antoniou
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  2. Ilias Gialampoukidis
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  3. E. Ioannidis
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Correspondence to Ioannis Antoniou .

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Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Harald Atmanspacher

  2. University of Freiburg, Freiburg, Germany

    Thomas Filk

  3. City University London, London, United Kingdom

    Emmanuel Pothos

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Antoniou, I., Gialampoukidis, I., Ioannidis, E. (2016). Age and Time Operator of Evolutionary Processes. In: Atmanspacher, H., Filk, T., Pothos, E. (eds) Quantum Interaction. QI 2015. Lecture Notes in Computer Science(), vol 9535. Springer, Cham. https://doi.org/10.1007/978-3-319-28675-4_5

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