Email this article Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds
- Authors: Maslov V.P.1,2, Nazaikinskii V.E.2,3
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Affiliations:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 100, No 3-4 (2016)
- Pages: 421-428
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/149708
- DOI: https://doi.org/10.1134/S000143461609008X
- ID: 149708
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Abstract
For an arithmetic semigroup (G, ∂), we define entropy as a function on a naturally defined continuous semigroup Ĝ containing G. The construction is based on conditional maximization, which permits us to introduce the conjugate variables and the Lagrangian manifold corresponding to the semigroup (G, ∂).
About the authors
V. P. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Moscow
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
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