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  •   University of Thessaly Institutional Repository
  • Επιστημονικές Δημοσιεύσεις Μελών ΠΘ (ΕΔΠΘ)
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  •   University of Thessaly Institutional Repository
  • Επιστημονικές Δημοσιεύσεις Μελών ΠΘ (ΕΔΠΘ)
  • Δημοσιεύσεις σε περιοδικά, συνέδρια, κεφάλαια βιβλίων κλπ.
  • View Item
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Probability from chaos

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Author
Antoniou, I.; Christidis, T.; Gustafson, K.
Date
2004
DOI
10.1002/qua.10869
Keyword
chaos
stochasticity
positive dilation
Markov processes
QUANTUM-MECHANICS
DETERMINISTIC DYNAMICS
POSITIVE CONTRACTIONS
K-FLOWS
SYSTEMS
DILATIONS
OPERATORS
IRREVERSIBILITY
SEMIGROUPS
CONSTRUCTION
Chemistry, Physical
Mathematics, Interdisciplinary Applications
Physics, Atomic, Molecular & Chemical
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Abstract
Chaos is argued to lie at the origin of probability in nature. This is supported by several results: natural probabilistic processes are components of Markov processes; and Markov processes arise as projections of chaotic dynamics. We also discuss the quantum analogue of the latter. No quantum analogue of the former has yet been found. (C) 2004 Wiley Periodicals, Inc.
URI
http://hdl.handle.net/11615/25690
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  • Δημοσιεύσεις σε περιοδικά, συνέδρια, κεφάλαια βιβλίων κλπ. [19735]
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