2026-08-17T04:54:30Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:108 2024-03-06T11:06:12Z ddc:004 open_access

Note on Negative Probabilities and Observable Processes Faigle, Ulrich Schoenhuth, Alexander Negative Probability Observable Process Markov Chain Stochastic Process Bell’s Inequality HHM LDP OOM 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 finite state (hidden) Markov models, is derived. On the philosophical side, the model furthermore offers an explanation for Bell's inequality in quantum mechanics. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Ulrich Faigle and Alexander Schoenhuth 2005 Is Part Of Dagstuhl Seminar Proceedings, Volume 5031, Algorithms for Optimization with Incomplete Information (2005) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.05031.19 urn:nbn:de:0030-drops-1087 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05031.19 eng https://creativecommons.org/licenses/by/4.0/legalcode