Poincaré recurrence and number theory
نویسندگان
چکیده
منابع مشابه
Poincaré recurrence theorem in MV-algebras
The classical Poincaré weak recurrence theorem states that for any probability space (Ω,S, P ), any P -measure preserving transformation T , and any A ∈ S, almost all points of A return to A. In the present paper the Poincaré theorem is proved when the σ-algebra S is replaced by any σ-complete MV-algebra. Keywords— Measure preserving transformation, Poincaré recurrence theorem, σ-complete MV-al...
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Reversibility of dynamical processes arises in many physical dynamical systems. For example, lossless Newtonian and Hamiltonian mechanical systems exhibit trajectories that can be obtained by time going forward and backward, providing an example of time symmetry that arises in natural sciences. Another example of such time symmetry is the phenomenon known as Poincaré recurrence wherein the dyna...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1981
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1981-14932-6