Revision of probability theory from the point of view of quantum statistics. (English) Zbl 1325.81111
Summary: Distributions for time series corresponding to problems related to Kolmogorov complexity are obtained. The notions of negative dimension and of quantization of spaces of positive and negative dimension are introduced. Applications of these notions to a broad spectrum of problems are considered, from linguistics to isotropic turbulence.
MSC:
| 81S25 | Quantum stochastic calculus |
| 60A05 | Axioms; other general questions in probability |
| 81P05 | General and philosophical questions in quantum theory |
| 82B03 | Foundations of equilibrium statistical mechanics |
References:
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