Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds
- Autores: Maslov V.P.1,2, Nazaikinskii V.E.2,3
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Afiliações:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Edição: Volume 100, Nº 3-4 (2016)
- Páginas: 421-428
- Seção: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/149708
- DOI: https://doi.org/10.1134/S000143461609008X
- ID: 149708
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Resumo
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, ∂).
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Sobre autores
V. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Autor responsável pela correspondência
Email: v.p.maslov@mail.ru
Rússia, Moscow; Moscow
V. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Email: v.p.maslov@mail.ru
Rússia, Moscow; Dolgoprudny, Moscow Oblast
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