Note on Negative Probabilities and Observable Processes

Faigle, Ulrich and Schönhuth, Alexander (2005) Note on Negative Probabilities and Observable Processes.
Published In: Algorithms for Optimization with Incomplete Information : Dagstuhl seminar Internat. Begegnungs- und Forschungszentrum für Informatik 2005, pp. 1-14.

Abstract

A mathematical framework for observable processes is introduced via the model of systems whose states may be time dependent and described by possibly "negative probabilities". The model generalizes and includes the linearly dependent models or observable operator models for classical discrete stochastic processes. Within this model a general convergence result for finite-dimensional processes, which generalize (hidden) Markov models, is derived. On the philosophical side, the model furthermore offers an explanation for Bell's inequality in quantum mechanics.


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Content information:
Item Type: Proceedings article
Citations: 0 (Google Scholar) |
Uncontrolled Keywords: negative probability observable process Markov chain stochastic processes Bell's inequality HMM LDP OOM
Subjects:
  • 37-XX Dynamical systems and ergodic theory > 37Mxx Approximation methods and numerical treatment of dynamical systems > 37M10 Time series analysis

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    Divisions: Institute of Computer Science > Computer Science Department - Prof. Dr. Schrader
    Mathematical Institute > Prof. Dr. Faigle
    Related URLs:
      Deposit Information:
      ZAIK Number: zaik2005-497
      Depositing User: Prof. Dr. Ulrich Faigle
      Date Deposited: 09 Nov 2005 00:00
      Last Modified: 12 Jan 2012 10:37
      URI: http://e-archive.informatik.uni-koeln.de/id/eprint/497