11,310 research outputs found
Interpenetrating subspaces as a funnel to extra space
New solution for two interpenetrating universes is found. Higher derivative
gravity acting in 6-dimensional space is the basis of the study that allows to
obtain stable solution without introducing matter of any sort. Stability of the
solution is maintained by a difference between asymptotic behavior at spacial
infinities. For an external observer such a funnel looks similar to a spherical
wormhole.Comment: 10 pages, 5 figures, accepted for publication in Phys. Lett. B,
revised versio
Central limit theorem and Diophantine approximations
Let denote the distribution function of the normalized sum of i.i.d. random variables with finite fourth
absolute moment. In this paper, polynomial rates of convergence of to the
normal law with respect to the Kolmogorov distance, as well as polynomial
approximations of by the Edgeworth corrections (modulo logarithmically
growing factors in ) are given in terms of the characteristic function of
. Particular cases of the problem are discussed in connection with
Diophantine approximations
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