Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds


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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, ).

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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