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Matematicheskie Zametki, 2016, Volume 100, Issue 3, paper published in the English version journal
(Mi mzm11421)
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This article is cited in 10 scientific papers (total in 10 papers)
Papers published in the English version of the journal
Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds
V. P. Maslovab, V. E. Nazaikinskiibc a National Research University Higher School of Economics,
Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics,
Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology (State University),
Dolgoprudny, Moscow Oblast, Russia
Abstract:
For an arithmetic semigroup
$(G,\partial)$,
we define entropy as a
function on a naturally defined continuous semigroup $\widehat G$
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
$(G,\partial)$.
Keywords:
arithmetic semigroup, Bose gas, entropy, volume, Lagrange multiplier, conjugate variable, Lagrangian manifold.
Received: 26.03.2016
Citation:
V. P. Maslov, V. E. Nazaikinskii, “Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds”, Math. Notes, 100:3 (2016), 421–428
Linking options:
https://www.mathnet.ru/eng/mzm11421
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Abstract page: | 225 |
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