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Journal of Fixed Point Theory and Applications

, Volume 8, Issue 1, pp 81–111 | Cite as

New global distributions in number theory and their applications

  • V. P. MaslovEmail author
Article

Abstract

Consideration of an example corresponding to the partition of integers results in revision of certain physical concepts. A substantial term is added to the Bose–Einstein distribution. The notion of “fractional dimension” is introduced. Some effects considered earlier as pure quantum effects are explained from the classical standpoint. A distribution depending on three fixed points is given.

Mathematics Subject Classification (2010)

53D12 11P82 80M35 82B30 

Keywords

Gibbs distribution Boltzmann statistics Bose–Einstein distribution Bose condensate fractal dimension number of degrees of freedom equations of state Lagrangian submanifolds analytic theory of partition Kolmogorov complexity chaos 

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© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of PhysicsMoscow State UniversityMoscowRussia

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