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This article is cited in 6 scientific papers (total in 6 papers)
Metric Properties of Bogoliubov Trajectories in Statistical Equilibrium Theory
D. P. Sankovich Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We investigate some properties of the Bogoliubov measure that appear in statistical equilibrium theory for quantum systems and establish the nondifferentiability of the Bogoliubov trajectories in the corresponding function space. We prove a theorem on the quadratic variation of trajectories and study the properties implied by this theorem for the scale transformations. We construct some examples of semigroups related to the Bogoliubov measure. Independent increments are found for this measure. We consider the relation between the Bogoliubov measure and parabolic partial differential equations.
Received: 16.11.2000
Citation:
D. P. Sankovich, “Metric Properties of Bogoliubov Trajectories in Statistical Equilibrium Theory”, TMF, 127:1 (2001), 125–142; Theoret. and Math. Phys., 127:1 (2001), 513–527
Linking options:
https://www.mathnet.ru/eng/tmf452https://doi.org/10.4213/tmf452 https://www.mathnet.ru/eng/tmf/v127/i1/p125
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Abstract page: | 423 | Full-text PDF : | 189 | References: | 54 | First page: | 1 |
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